103k views
3 votes
Line AB is parallel to line CD. What is the measure of ∠1?

Line AB is parallel to line CD. What is the measure of ∠1?-example-1
User John Hann
by
8.0k points

1 Answer

3 votes

∠1 = 100° (option E)

Step-by-step explanation:

∠5 and 80 degrees are supplementary angles.

Their sum is equal to 180 degrees

∠5 + 80° = 180° (sum of angles on a line)

∠5 = 180 - 80

∠5 = 100°

The angle at the top of the first line corresponds to the the angle at the top of the 2nd line

∠5 corresponds to ∠1

Corresponding angles are equal

∠5 = ∠1

Hence, ∠1 = 100° (option E)

User Alexdriedger
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories