Question

The sum of the measures of the angles below is 180°. (2x - 10)° and (x + 10)°. What is the measure of each angle?

A. (2x - 10)° and (x + 10)°
B. (x - 10)° and (x + 10)°
C. (x - 10)° and (2x + 10)°
D. (2x - 10)° and (2x + 10)°

Answer 1

The measure of each angle is 110° and 70°, and the value of x is 60.

Step-by-step explanation:

The sum of the measures of the angles (2x - 10)° and (x + 10)° is 180°. In order to find the value of x and the measure of each angle, we can set up an equation:

(2x - 10) + (x + 10) = 180

Combining like terms, we have:

3x = 180

Dividing both sides by 3, we get:

x = 60

Substituting x = 60 into the expressions for the angles, we have:

(2(60) - 10)° = 110°
(60 + 10)° = 70°