Question

The sum of the measures of angle P and angle S is 140°.

The measure in degrees of angle P is represented by the expression (5x+30)°.
The measure of angle S is 80°.

What is the value of x?

A. 38

B. 6

C. 10

D. 22

Answer 1

To find the value of x, we set up the equation (5x + 30) + 80 = 140 based on the given angle measures. After simplifying, we find x = 6, which means option B is the correct choice.

Step-by-step explanation:

The question asks for the value of x when given the sum of two angles and the expression for one of them. According to the problem, the sum of the measures of angle P and angle S is 140°. Angle P is represented by the expression (5x+30)° and angle S measures 80°. To find the value of x, we can set up an equation:

(5x + 30) + 80 = 140

This simplifies to:

5x + 110 = 140

Subtracting 110 from both sides:

5x = 30

Dividing both sides by 5:

x = 6

Therefore, the value of x that satisfies the given conditions is 6, which corresponds to option B.