Question

I've been working on this for hours. Lesson didn't say what to do with triangles. Please help.

Find the value of x. Then find the measure of each labeled angle.

Answer 1

see explanation

Explanation:

The 2 labelled angles are corresponding angles and congruent, hence

9x - 10 = 5x + 38 ( subtract 5x from both sides )

4x - 10 = 38 ( add 10 to both sides )

4x = 48 ( divide both sides by 4 )

x = 12

The measure of each angle is

9x - 10 = (9 × 12 ) - 10 = 108 - 10 = 98° = 5x + 38

Answer 2

The value of x is 12

The measure of 5x + 38 = 5(12) + 38 = 98°

The measure of 9x - 10 = 9(12) - 10 = 98°

Explanation:

∵ From parallel

∴ 5x + 38 = 9x - 10 ⇒ corresponding angles

∴ 9x - 5x = 38 + 10

∴ 4x = 48

∴ x = 12

∴ The measure of 5x + 38 = 5(12) + 38 = 98

∴ The measure of 9x - 10 = 9(12) - 10 = 98