Use the image to answer the question.
An illustration shows three rays passing through three points from a common origin point at upper S. Point upper T is to the horizontal left of upper S. A ray from upper S joins upper T with an arrow near upper T. Point upper V is on the top inclined to the right of point upper S. A ray from upper S joins upper V with an arrow near upper V. Point upper R is to top right of point upper S, below point upper V. A ray from upper S joins upper R with an arrow near upper R. Angle upper T upper S upper R is labeled as 157 degrees. Angle upper V upper S upper R as 54 degrees.
What is the measure of ∠TSV?
(1 point)
∠TSV = 29 degrees.
Use the image to answer the question.
An illustration shows three rays from a common vertex with labeled angles. The first ray is inclined to the horizontal left of the common vertex with an arrow at the end. The second ray is inclined to the horizontal right of the common vertex with an arrow at the end. The third ray is to the top right of the common vertex with an arrow at the end. It is between the other two rays. The angle between the first and the third rays is labeled as left parenthesis 2 x plus 3 right parenthesis degrees. The angle between the second and third rays is labeled as left parenthesis x minus 6 right parenthesis degrees.
What is an equation for these two adjacent angles?
(2 points)
(2x + 3) + (x - 6) = 3x - 3
Two adjacent angles form a resulting angle of 135°. ∠1=(2x)° and ∠2=(2x+7)°. What are the two unknown angles?(1 point)
We know that:
∠1 + ∠2 = resulting angle
Substituting the given values:
(2x)° + (2x + 7)° = 135°
Simplifying the equation:
4x + 7 = 135
4x = 128
x = 32
Substituting x = 32 in the expressions for the angles:
∠1 = (2x)° = 64°
∠2 = (2x + 7)° = 71°
Therefore, ∠1 is 64° and ∠2 is 71°.
A figure displays two complementary nonadjacent angles. If one of the angles has a measure of 39 , what is the other angle measure?(1 point)
Two angles are complementary if their sum is equal to 90 degrees.
Let's denote the measure of the other angle as x.
Since the angles are complementary:
x + 39 = 90
Subtracting 39 from both sides:
x = 51
Therefore, the measure of the other angle is 51 degrees.
A figure shows two nonadjacent angles (2x+3)° and 2x°. If the angles are complementary, what is the equation for the angles?(1 point)
Since the two angles are complementary, their sum is 90 degrees.
So we have the equation:
(2x + 3)° + 2x° = 90°
Simplifying the equation:
4x + 3 = 90
4x = 87
x = 21.75
Therefore, the two angles are:
(2x + 3)° = (2(21.75) + 3)° = 46.5°
2x° = 2(21.75)° = 43.5°
So the equation for the angles is:
46.5° + 43.5° = 90°
A figure shows two nonadjacent angles (2x+3)° and 2x°. If the angles are complementary, what is the equation for the angles?(1 point)
+ 2x° = °
There seems to be an error in the question. The equation was partially written, but the answer choices are missing. Please provide more information or review the question.
A figure shows two nonadjacent angles (2x+3)° and 2x°. If the angles are complementary, what is the equation for the angles?(1 point)
( )° + 2x° =
Since the two angles are complementary, we know that:
(2x+3)° + 2x° = 90°
Simplifying the left side of the equation:
4x + 3 = 90
Subtracting 3 from both sides:
4x = 87
Dividing by 4:
x = 21.75
Substituting x into the expressions for the two angles:
(2x+3)° = 46.5°
2x° = 43.5°
Therefore, the equation for the two angles is:
(46.5°) + 2x° = (46.5°) + (2 * 43.5°) = 133.5° + 2x°
So the answer is: (133.5 + 2x)° + 2x° = (2x + 133.5)°
no it's not
I apologize for the mistake in my previous response.
The equation for the two angles can be written as:
(2x + 3)° + 2x° = 90°
Simplifying the left side of the equation:
4x + 3 = 90
Subtracting 3 from both sides:
4x = 87
Dividing by 4:
x = 21.75
Substituting x into the expressions for the two angles:
(2x + 3)° = 46.5°
2x° = 43.5°
Therefore, the equation for the two angles is:
(2x + 3)° + 2x° = 46.5° + 43.5° = 90°
So the answer is:
(2x + 3)° + 2x° = 90°
Two complementary angles are expressed as 2x and 3x. What is the value of x and the two angle measures?
x= 2x= and 3x=
We know that two angles are complementary if their sum equals 90 degrees.
So we can write the equation:
2x + 3x = 90
Combining like terms:
5x = 90
Dividing by 5:
x = 18
Substituting x = 18 into the expressions for the two angles:
2x = 2(18) = 36
3x = 3(18) = 54
Therefore, the value of x is 18.
The two angle measures are 36 degrees and 54 degrees, corresponding to 2x and 3x respectively.
So,
x = 18
2x = 36
3x = 54
Angles j and k are supplementary angles. What is the measure of angle j if angle k=117°?
If angles j and k are supplementary, that means their sum equals 180 degrees.
So we can write the equation:
j + k = 180
Substituting k = 117:
j + 117 = 180
Subtracting 117 from both sides:
j = 63
Therefore, the measure of angle j is 63 degrees.
Two supplementary angles are ∠ABC=105° and ∠CBD=(3x−24)°. What is the equation to solve for x? (1 point)
3x°+ =
If angles ∠ABC and ∠CBD are supplementary, their sum is equal to 180 degrees, so we have:
∠ABC + ∠CBD = 180
Substituting the given values, we get:
105 + (3x - 24) = 180
Simplifying and solving for x, we have:
3x - 24 = 75
3x = 99
x = 33
Therefore, the equation to solve for x is:
3x - 24 = 3(33) - 24 = 75
So the answer is:
3x° + 75°
Two supplementary angles are ∠ABC=105° and ∠CBD=(3x−24)°. What is the equation to solve for x? (1 point)
3x° + =
The equation to solve for x is:
3x − 24 = 180 − 105
Simplifying the right side of the equation:
3x − 24 = 75
Adding 24 to both sides:
3x = 99
Dividing by 3:
x = 33
Therefore, the equation to solve for x is:
3x - 24 = 75
So the answer is:
3x° + 24° = 75°
Two angles are supplementary. ∠ACB=4x° and ∠BCD=6x+50°. What is the measure of ∠ACB?(1 point)
∠ACB=
Since the two angles ∠ACB and ∠BCD are supplementary, their sum is equal to 180 degrees.
So we can write the equation:
∠ACB + ∠BCD = 180
Substituting the given values:
4x + (6x + 50) = 180
Combining like terms:
10x + 50 = 180
Subtracting 50 from both sides:
10x = 130
Dividing by 10:
x = 13
Substituting x = 13 into the expression for ∠ACB:
4x = 4(13) = 52
Therefore, the measure of ∠ACB is 52 degrees.
So,
∠ACB = 52°
Use the image to answer the question.
An illustration shows a horizontal line intersecting two parallel slanting lines. The angles the horizontal line forms with left parallel line are 1, 2, 3, and 4. Angles 1 and 2 are complementary. Angles 2 and 4 are complementary. Angles 4 and 3 are complementary. Angles 3 and 1 are complementary. Angles 1 and 4 are opposite each other. Angles 2 and 3 are opposite each other. The angles the horizontal line forms with right parallel line are 5, 6, 7, and 8. . Angles 5 and 6 are complementary. Angles 6 and 8 are complementary. Angles 8 and 7 are complementary. Angles 7 and 5 are complementary. Angles 5 and 8 are opposite each other. Angles 6 and 7 are opposite each other.
Which angle is a vertical angle with ∠5?
According to the given information, angle 8 is complementary to angle 6, and angle 5 is complementary to angle 6. Therefore, angle 5 is supplementary to angle 8.
Vertical angles are opposite angles formed by intersecting lines. Since angle 5 forms a straight line with the horizontal line and the right parallel line, it does not have any vertical angles on the same intersection.
Therefore, there is no angle that is a vertical angle with ∠5 in this case.
If m∠2=47°, what is m∠4?
Since angles 2 and 4 are complementary, we know that:
m∠2 + m∠4 = 90
Substituting the given value for m∠2:
47 + m∠4 = 90
Solving for m∠4:
m∠4 = 90 - 47
m∠4 = 43
Therefore, the measure of angle 4 is 43 degrees.
∠6=112° and ∠7=2x+8. What equation will solve for x?
Since angles 6 and 7 are complementary, we know that:
m∠6 + m∠7 = 90
Substituting the given values:
112 + (2x + 8) = 90
Simplifying and solving for x, we have:
2x + 120 = 90
2x = -30
x = -15
Therefore, the equation to solve for x is:
2x + 8 = 2(-15) + 8 = -22
So the answer is:
∠7 = -22°