Question

Find x. (Finding an angle measure given extended triangles) Please help. Thanks!

Answer 1

x = 31º

The verticle angle at the bottom left is 33º

The supplementary angle on the bottom right is 180 - 98 = 82

Sum of the angles in a triangle is 180

(34 + x) + 33 + 82 = 180

Combine like terms

x + 149 = 180

Subtract 149 from both sides

x = 31º

Explanation:

Answer 2

x = 31º

Explanation:

The verticle angle at the bottom left is 33º

The supplementary angle on the bottom right is 180 - 98 = 82

Sum of the angles in a triangle is 180

(34 + x) + 33 + 82 = 180

Combine like terms

x + 149 = 180

Subtract 149 from both sides

x = 31º