Are the two indicated angles adjacent? Why or why not?
(1 point)
Responses
No, the two indicated angles do not share a common vertex.
No, the two indicated angles do not share a common vertex.
Yes, the two indicated angles share a common ray.
Yes, the two indicated angles share a common ray.
No, the two indicated angles do not share a common ray.
No, the two indicated angles do not share a common ray.
Yes, the two indicated angles share a common vertex.
Yes, the two indicated angles share a common vertex.
No, the two indicated angles do not share a common vertex.
explain
Adjacent angles share a common vertex and a common side, also known as a common ray. In this case, the indicated angles do not share a common vertex, so they are not considered adjacent angles.
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)
°
To find the measure of angle ∠TSV, we can use the fact that the sum of angles around a point is 360 degrees.
∠TSR = 157 degrees
∠VSR = 54 degrees
Now, we can calculate:
∠TSV = 360 - ∠TSR - ∠VSR
∠TSV = 360 - 157 - 54
∠TSV = 149 degrees
Therefore, the measure of angle ∠TSV is 149 degrees.
Question
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)
(
x+
)° + (x−
)° =
°
The equation for the two adjacent angles can be written as:
(2x + 3) degrees + (x - 6) degrees = Degrees
Therefore, the equation is:
(2x + 3) + (x - 6) = Degrees
Two adjacent angles, ∠1
and ∠2
, form a resulting angle with measure 135° . If m∠1=(2x)° and m∠2=(2x+7)° , what are the two unknown angle measures?(1 point)
m∠1=
°, m∠2=
°
Given that the resulting angle when ∠1 and ∠2 are adjacent is 135°, and
m∠1 = (2x)°
m∠2 = (2x + 7)°
We know that the sum of ∠1 and ∠2 is equal to 135°. So, we can set up the equation:
(2x) + (2x + 7) = 135
Combine like terms:
4x + 7 = 135
Subtract 7 from both sides:
4x = 128
Divide by 4:
x = 32
Now:
m∠1 = (2x) = 2(32) = 64°
m∠2 = (2x + 7) = 2(32) + 7 = 71°
Therefore, m∠1 = 64° and m∠2 = 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)
°