514,972 views
36 votes
36 votes
Find x, y and z HELPPP

Find x, y and z HELPPP-example-1
User Vikram Rawat
by
2.8k points

1 Answer

18 votes
18 votes

Answer:

x = 30 degrees

y = 15 degrees

z = 150 degrees

Explanation:

Finding x:

2x + 90 + x = 180

3x + 90 = 180

3x = 90

x = 30

x and 2y are alternate interior angles, which means that they are congruent:

x = 2y

30 = 2y

15 = y

x and z are same side interior angles, which means that they are supplementary:

x + z = 180

30 + z = 180

z = 180 - 30

z = 150

User Miralong
by
2.1k points