Question

Measure of Angle 1 is 5x.

Measure of Angle 3 is x-24.

What is the measure of Angle 1?

Answer 1

The answer to your question is: 30°

Explanation:

Data

m∠ 1 = 5x

m∠ 3 = x - 24

Process

m ∠ 1 = m ∠ 3 because they are vertical angles

5x = x - 24

5x - x = 24

4x = 24

x = 24 / 4

x = 6

Angle 1 = 5(6)

= 30°