Two adjacent angles are on a straight line. One angle has a measure of (5x−28)° and the other angle has a measure of (8x)° . What is the measure of the second angle?(1 point)
Responses
120°
120 degrees
52°
52 degrees
16°
16 degrees
128°
To solve the problem, you need to set up an equation. Since the two angles are adjacent and on a straight line, their measures must add up to 180 degrees (the sum of angles on a straight line is 180 degrees).
So, the equation is:
(5x - 28) + (8x) = 180
Combine like terms:
13x - 28 = 180
Add 28 to both sides:
13x = 208
Divide by 13:
x = 16
Now substitute the value of x back into the second angle's measure:
8x = 8(16) = 128
Therefore, the measure of the second angle is 128 degrees.
To solve the problem, you need to set up an equation. Since the two angles are adjacent and make up a 90 degree angle, their measures must add up to 90 degrees.
So, the equation is:
x + (x + 30) = 90
Combine like terms:
2x + 30 = 90
Subtract 30 from both sides:
2x = 60
Divide by 2:
x = 30
Therefore, x is equal to 30.
To solve the problem, we know that the two angles must add up to 90 degrees since they form a right angle.
So, the equation is:
x + (x + 30) = 90
Combine like terms:
2x + 30 = 90
Subtract 30 from both sides:
2x = 60
Divide by 2:
x = 30
So, the measure of the first angle is x° = 30°.
To find the measure of the second angle (x + 30)°, we can substitute the value of x back into the equation:
30 + 30 = 60
So, the measure of the second angle is (x + 30)° = 60°.
Therefore, the two angle measures are 30° and 60°.
To solve the problem, we need to set up an equation. Since the obtuse angle formed by the two adjacent angles is given as 107 degrees, we have:
(x - 5) + (3x) = 107
Combine like terms:
4x - 5 = 107
Add 5 to both sides:
4x = 112
Divide by 4:
x = 28
Now, substitute the value of x back into the expressions for the angles:
Angle 1 = (x - 5)° = (28 - 5)° = 23°
Angle 2 = (3x)° = (3 * 28)° = 84°
Therefore, the angle measures of the two unknown angles are 23° and 84°.
To solve the problem, we know that the sum of the measures of the two adjacent angles forming a straight line is 180 degrees.
So, the equation is:
(2x + 3) + (x - 6) = 180
Combine like terms:
3x - 3 = 180
Add 3 to both sides:
3x = 183
Divide by 3:
x = 61
Now, substitute the value of x back into the expressions for the angles:
Angle 1 = (2x + 3)° = (2*61 + 3)° = 125°
Angle 2 = (x - 6)° = (61 - 6)° = 55°
Therefore, the measures of the two angles that make up the straight line are 125° and 55°.
For two adjacent angles with measures x° and (x+30)° that make up a 90° angle, what is x ?(1 point)
Responses
60
60
15
15
30
30
20
Question
A right angle is formed by two adjacent angles with measures of (x)° and (x+30)° . What are the two angle measures?(1 point)
Responses
75° and 105°
75 degrees and 105 degrees
70° and 25°
70 degrees and 25 degrees
30° and 60°
30 degrees and 60 degrees
60° and 90°
A 180° angle (straight line) is formed by two adjacent angles. One angle has a measure of (2x+3)° and the other has a measure of (x−6)°. What are the measures of the two angles that make up the straight line?(1 point)
Responses
125° and 55°
125 degrees and 55 degrees
186° and 88°
186 degrees and 88 degrees
121° and 59°
121 degrees and 59 degrees
129° and 51°
An obtuse angle is formed by two adjacent angles with measures (x−5)° and (3x)°. If the resulting angle measure is 107°, what is the angle measure of each of the two unknown angles? Round to the nearest whole number.(1 point)
Responses
28° and 79°
28 degrees and 79 degrees
20° and 87°
20 degrees and 87 degrees
23° and 84°
23 degrees and 84 degrees
32° and 75°
32 degrees and 75 degrees