214k views
0 votes
Anyone can help me ?

Anyone can help me ?-example-1
User EjLev
by
8.1k points

1 Answer

3 votes

9514 1404 393

Answer:

  • ∠x = 80°
  • ∠y = 40°
  • ∠z = 60°

Explanation:

The angle marked x and the one marked 100° form a linear pair, so are supplementary. The measure of x is ...

x = 180° -100° = 80°

__

The angle marked 40° and the one marked y are "alternate interior angles" with respect to the parallel lines and the diagonal that crosses them. As such, they have the same measure:

y = 40°

__

The angle marked 100° and the sum of angles in the lower right corner are "corresponding" angles, so have the same measure. That is ...

100° = 40° +z

z = 100° -40° = 60°

User Mohamed Reda
by
7.6k 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