Question

In the diagram, transversal t cuts parallel lines a and b. Which equation is necessarily true?

A.
m∠1 = m∠7

B.
m∠3 = m∠6

C.
m∠5 + m∠8 = 90°

D.
m∠6 + m∠7 = 180°

Answer 1

B is the correct answer

Answer 2

The correct answer is option B.

m<3 = m<6

Explanation:

From the figure we an see that, a and b are parallel lines and line t is the traversal on the lines.

To find the correct option

From the given figure we get

Corresponding angles are,

<1 & <5, <2&<6, <2&<7 and <4 &<8

Alternate interior angles are,

<3 & <6 and <4 &<5

Alternate interior angles are equal.

m<3 = m<6

Therefore the correct answer is optionB