Answer:
x = 12°
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
[tex] \frac{4x}{4} = \frac{48}{4} [/tex]
We have the final answer as
x = 12°
Hope this helps you
