Question

1. a. $x = 90$ b. $x = 10$ c. $x = 76$ d. $x = 80$

Explanation:

Step1: Sum of angles is 90 degrees

The two non - right angles in the right - angled corner sum to 90 degrees. So, \(12+(x - 2)=90\).

Step2: Simplify the left - hand side

First, simplify the left - hand side of the equation: \(12+x - 2=90\), which becomes \(x + 10=90\).

Step3: Solve for x

Subtract 10 from both sides of the equation: \(x=90 - 10\).

Answer:

D. \(x = 80\)