Question

1. x = ____ 102°

Explanation:

Step1: Recall angle - sum property of triangle

The sum of interior angles of a triangle is 180°. Given a right - triangle with angles \(x\), 90°, and 16°. So the equation is \(x + 90+16 = 180\).

Step2: Simplify the left - hand side

Combine 90 and 16: \(x+106 = 180\).

Step3: Solve for \(x\)

Subtract 106 from both sides of the equation: \(x=180 - 106\).

Answer:

74