Question

In the figure shown, t || X and k l w and m23 = 20° Choose the list which includes all of the other angles that measure 20°

1615
13 14
1\2
43
k
11 10
129
5 6
87
w
0 A 1
B. 1, 5, 7
C. 1. 14. 16
0 D. 1.5. 7. 9, 11, 14, 16

Answer 1

D. 1, 5, 7, 9, 11, 14, 16

Explanation:

The following angles has the same measure as <3 = 20°:

m<7 = m<3 (corresponding angles are congruent)

m<5 = m<3 (alternate interior angles are congruent)

m<1 = m<3 (vertical angles are congruent)

m<14 = m<3 (corresponding angles are congruent)

m<16 = m<3 (alternate exterior angles are congruent)

m<9 = m<14 = m<3 (corresponding angles are congruent)

m<11 = m<9 = m<3 (vertical angles theorem and corresponding angles theorem)

Therefore, angles labelled D. 1, 5, 7, 9, 11, 14, and 16 all have the measure of 20°.