Question

Two adjacent angles are inside a 90° angle. One angle has a measure of (x+4)° and the other angle has a measure of (3x+2)° . What is x ?

A 90 degree angle is shown on a white background. A ray is splitting the 90 degree angle into two adjacent angles. The top angle is labeled as x plus 4. The bottom angle is labeled as 3 times x plus 2.

(1 point)
°

Answer 1

To solve this problem, we can set up an equation based on the fact that the sum of the two adjacent angles should equal 90 degrees.

(x + 4) + (3x + 2) = 90

Combine like terms:

4x + 6 = 90

Subtract 6 from both sides:

4x = 84

Divide both sides by 4:

x = 21

Therefore, x is 21.