Are the two indicated angles adjacent? Why or why not?
aob is 40*
cod is 50*
boc is ?
Angle Pairs Unit Test
1 No, the two indicated angles do not share a common vertex.
2 Yes, the two indicated angles share a common ray.
3 No, the two indicated angles do not share a common ray.
4 Yes, the two indicated angles share a common vertex.
The answer is 4. Yes, the two indicated angles share a common vertex.
Adjacent angles are two angles that share a common vertex and a common side. In this case, angle BOC shares a common vertex with both angle AOB and angle COD, which makes them adjacent angles.
4) Yes, the two indicated angles share a common vertex.
To determine if two angles are adjacent, we need to understand the definition of adjacent angles. Two angles are considered adjacent if they have a common vertex (a common endpoint) and a common side (a common ray extending from the vertex).
In this case, we are given three angles: aob, cod, and boc.
To find out if aob and cod are adjacent, we need to check if they have a common vertex. From the given information, we know that aob has vertex o and cod has vertex o. Therefore, aob and cod have a common vertex.
Next, we need to determine if aob and cod have a common side. Since aob is defined by a ray extending from vertex o, and cod is also defined by a ray extending from vertex o, they have a common side.
Based on the definition of adjacent angles, we can conclude that aob and cod are indeed adjacent.
Regarding the third angle, boc, we can determine its adjacency with either aob or cod. As before, we need to check if boc shares a common vertex and a common side with aob or cod.
Since aob and cod have a common vertex o, boc can be adjacent to either of them. However, we don't have any information about the angle measurement of boc, so we cannot determine its adjacency based on the given information.
To find the value of angle boc, we may need additional information or a different angle relationship. Without more data or context, we cannot determine the exact measurement of angle boc.
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.