230k views
3 votes
Streets A and B run parallel to each other. The measure of is . The measure of is . Find the measure of .

Streets A and B run parallel to each other. The measure of is . The measure of is-example-1

1 Answer

7 votes

Answer:

Explanation:

The measure of <3 = 154 degree

as

<5 and <6 are adjacent angles and supplementary whose sum of degree is 180°.

∠3 and ∠5 are consecutive interior angles on the same side of transversal. They are supplementary. Therefore, m∠1 + m∠5 = 180°.

∠3 and ∠6 are alternate interior angles that are non-adjacent and on the opposite sides of transversal.

m∠1 + m∠5 = 180°

m∠1 = 180° - m∠5

m∠1 = 180° - 26°

m∠1 = 154° and

m∠3 ≅ m∠6

m∠3 ≅ 154°

User Raghav Rach
by
8.4k points