Question

The measure of the supplement of an angle is 20 degrees less than 4 times the measure of the angle. If the angle is denoted as x degrees, what is the value of x?

Option 1: x = 70 degrees
Option 2: x = 90 degrees
Option 3: x = 110 degrees
Option 4: x = 130 degrees

Answer 1

The value of x is 40 degrees.

Step-by-step explanation:

To solve this problem, we need to set up an equation using the given information. Let's call the measure of the angle x degrees. The supplement of the angle is 180 - x degrees. According to the problem, the supplement of the angle is 20 degrees less than 4 times the measure of the angle, so we have the equation:

180 - x = 4x - 20

Simplifying the equation, we get:

5x = 200

Dividing both sides by 5, we find that x = 40 degrees. Therefore, the value of x is 40 degrees.