Question

The sum of the measures of angle P and angle Q is 100⁰.

• The measure of angle P is (3x - 15)°.
• The measure of angle Q is 25°.

What is the value of x? (7.11C, SS, RC3)

Answer 1

x = 30

Explanation:

You are given an angle and the sum of that angle with another that is (3x-15)°, and you want the value of x.

Equation

The sum of the two angles is given as 100°.

P +Q = 100°

(3x -15)° +25° = 100° . . . . . . use the given values for angles and sum

3x = 90 . . . . . . . . . . . . divide by ° and subtract 10

x = 30 . . . . . . . . . divide by 3

The value of x is 30.