Question

Solve for x in the diagram below.

Answer 1

x = 6

Explanation:

From the above diagram, we can deduce that:

5x + (x + 54) = 90 (Sum of Acute Angles)

Now, we can solve for x using this equation.

`5x + (x + 54) = 90 \\ 6x + 54 = 90 \\ 6x + 54 - 54 = 90 - 54 \\ 6x = 36 \\ x = (36)/(6) \\ x = 6`