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 ?

Question

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)
°
Skip to navigation

Answer 1

Since the angles are adjacent and inside a 90° angle, their measures must add up to 90°.

Therefore, we can set up the equation:

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

Simplifying the equation, we have:

4x + 6 = 90

Subtracting 6 from both sides:

4x = 84

Dividing both sides by 4:

x = 21

Therefore, x = 21.