In quadrilateral abcd , ab ∥ cd, and m∠2=35°.

what is m∠5?

enter your answer in the box.

The measure of is .

Given:

In Quadrilateral and .

To find:

The measure of .

Explanation:

If a transversal line intersects two parallel lines then the alternate interior angles are congruent.

In the given figure and . So,

            (Alternate interior angles)

Therefore, the measure of is .

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we know that

Alternate interior angles are two interior angles which lie on different parallel lines and on opposite sides of a transversal. Alternate interior angles are congruent

In this problem

the parallel lines are AB and CD

the transversal line is BD

then

m∠5=m∠2 ------> by alternate interior angles

m∠5=

therefore

the answer is

m∠5=

agree

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