Solve for x in the diagram below

Step-by-step explanation:

First of all the angles lie on a right angle which means that they are complementary.

Complementary angles are angles that add up to 90°

To find x add up all the angles and equate it to 90° and solve for x

We have

x + 42 + 3x = 90

4x + 42 = 90

Subtract 42 from both sides

4x + 42 - 42 = 90 - 42

4x = 48

Divide both sides by 4

That's

We have the final answer as

Hope this helps you