Question

G

3
A.
2
m21=m27
B. m23=m26
C. m25+m28= 90°
m26+m27= 180°
D.
4
5
In the diagram, transversal t cuts parallel lines a and b. Which equation is necessarily true?
7
6
8

Answer 1

B

Explanation:

∠ 1 and ∠ 7 are same- side exterior angles and are not congruent

∠ 3 and ∠ 6 are alternate interior angles and are congruent

∠ 5 and ∠ 8 are vertically opposite angles and are congruent

They can only sum to 90° if they are both 45°

∠ 6 and ∠ 7 are vertically opposite angles and are congruent

They can only sum to 180° if they are both 90°

the only true equation is B , that is ∠ 3 = ∠ 6