Question

Two angles are vertical. Angle 1 is 10x + 20 degrees. Angle 2 is 150 degrees. What is the measure of Angle 1?

Answer 1

The measure of angle 1 is 150°

Explanation:

Given

Angle 1 = 10x + 20

Angle 2 = 150°

Both angles are vertical

Required

Measure of angle 1.

Angle 1 and Angle 2 are said to be vertical if and only if they are equal.

In other words,

Angle 1 = Angle 2

By substituting 10x + 20 for angle 1 and 150 for angle 2; this gives

10x + 20 = 150

10x = 150 - 20

10x = 130

Divide both sides by 10

10x/10 = 130/10

x = 13.

The question says find the measure of angle 1.

Recall that angle 1 = 10x + 20

Substitute 13 for x

Angle 1 = 13(10) + 20

Angle 1 = 130 + 20

Angle 1 = 150°

Hence, the measure of angle 1 is 150°