Question

In Quadrilateral ABCD , AB ∥ CD, and m∠2=35°.

What is m∠5?



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Answer 1

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=$35\°$

therefore

the answer is

m∠5=$35\°$

Answer 2

The measure of $\angle 5$ is $35^\circ$.

Given:

In Quadrilateral $ABCD, AB||CD$ and $m\angle 2=35^\circ$.

To find:

The measure of $\angle 5$.

Explanation:

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

In the given figure $ABCD, AB||CD$ and $m\angle 2=35^\circ$. So,

$\angle 5\cong \angle 2$             (Alternate interior angles)

$m\angle 5=m\angle 2$

$m\angle 5=35^\circ$

Therefore, the measure of $\angle 5$ is $35^\circ$.

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