ANGLE PAIR
EXAMPLES
Homework: Same as last week
REVIEW FOR YOUR TEST 
Use the diagram given. Is each
statement true? Explain.
1. 2 and 5 are adjacent angles.
No, they are not next to each other
2. 1 and 4 are vertical angles.
Yes, they are congruent and opposite
3. 4 and 5 are complementary.
No, they are supplementary
Name an angle or angles in the
diagram described by each of the
following.
4. complementary to BOC
∠𝐵𝑂𝐴 or ∠𝐷𝑂𝐸
5. supplementary to DOB
∠𝐵𝑂𝐴 or ∠𝐷𝑂𝐸
6. adjacent and supplementary to AOC
∠𝐷𝑂𝐶
Example 7
ABC and EBF are a pair of vertical angles;
mABC = 3x + 8 and mEBF = 2x + 48. What
are mABC and mEBF?
Work
Vertical angles are congruent
3𝑥 + 8 = 2𝑥 + 48
𝑥 + 8 = 48
𝑥 = 40
∠𝐴𝐵𝐶 = 3 40 + 8 = 128
∠𝐸𝐵𝐹 = 2 40 + 48 = 128
Example 8
JKL and MNP are complementary; mJKL = 2x  3
and mMNP = 5x + 2. What are mJKL and mMNP?
Work
Complementary angles add to 90
2𝑥 − 3 + 5𝑥 + 2 = 90
7𝑥 − 1 = 90
7𝑥 = 91
𝑥 = 13
∠𝐽𝐾𝐿 = 2 13 − 3 = 23
∠𝑀𝑁𝑃 = 5 13 + 2 = 67
Can you make each conclusion from the
information in the diagram? Explain.
9. 3  4
No, they don’t have the same measure
10. 2  4
Yes, they are vertical angles
11. m1 + m5 = m3
Yes, because they are congruent
12. m3 = 90
No, because it does not have the right angle markings