Use the image to answer the question. Determine if the two indicated angles are adjacent. (1 point) Responses Yes, they share a common ray. Yes, they share a common ray. No, they do not share a common vertex. No, they do not share a common vertex. No, they do not share a common ray. No, they do not share a common ray. Yes, they share a common vertex. Yes, they share a common vertex.
1. Are the two indicated angles adjacent? Why or why not? Answer: No, the two indicated angles do not share a common ray.
2. What is the measure of ∠TSV? Answer: 103°
3. What is an equation for these two adjacent angles? Answer: (2x + 3)° + (x-6)° = 180
4. 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? Answer: m∠1 = 64°, m∠2 = 71°
5. A figure displays two complementary nonadjacent angles. If one of the angles has a measure of 39°, what is the other angle measure? Answer: 51
6. A figure shows two nonadjacent angles with measures (2x+3)° and 2x°. If the angles are complementary, what is the equation for the angle measures? Answer: (2x + 3)° +2x° = 90°
7. Two complementary angles have measures (2x)° and (3x)°. What is the value of x and the two angle measures? Answer: x = 18, (2x)° = 36°, and (3x)° = 54°
8. Angles j and k are supplementary angles. What is m∠j if m∠k = 117°? Answer: 63°
9. Two supplementary angles have measures m∠ABC = 105° and m∠CBD = (3x−24)°. What is the equation to solve for x? Answer: (3x - 24)° + 105° = 180°
10. Two angles are supplementary with measures m∠ACB = 4x° and m∠BCD = (6x + 50)°. What is the measure of ∠ACB? Answer: m∠ACB = 52°
11. Which angle is a vertical angle with ∠5? Answer: 8
12. If m∠2 = 47°, what is m∠4? Answer: 43°
13. m∠5 = 112° and m∠8 = (2x+8)°. What equation will solve for x? Answer: 2x° + 8° = 112°
14. For two vertical angles with measures m∠1 = (2x + 26)° and m∠3 = (3x + 32)°, what is the measure of each angle? Answer: 14
15. Write it yourself.