Are the two indicated angles adjacent? Why or why not?
(1 point)
Responses
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.
Yes, the two indicated angles share a common ray.
What is the measure of ∠TSV ?
(1 point)
The measure of ∠TSV is unknown as it is not provided in the given information.
se 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 these two adjacent angles is:
(2x + 3)° + (x - 6)° = °
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=
°
m∠1 = 2x°, m∠2 = (2x + 7)°
Since the resulting angle measures 135°, we can set up the equation:
m∠1 + m∠2 = 135°
2x° + (2x + 7)° = 135°
Simplifying the equation:
4x + 7 = 135
Subtracting 7 from both sides:
4x = 128
Dividing both sides by 4:
x = 32
Now we can substitute the value of x back into m∠1 and m∠2:
m∠1 = 2x° = 2(32)° = 64°
m∠2 = (2x + 7)° = (2(32) + 7)° = 71°
So, m∠1 = 64° and m∠2 = 71°.