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.

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Answer 1

To solve this problem, we can set up an equation. Since the angles are adjacent and inside a 90° angle, their measures should add up to 90°.

(x+4) + (3x+2) = 90
4x + 6 = 90
Subtracting 6 from both sides:
4x = 84
Dividing both sides by 4:
x = 21

Therefore, x = 21.