Question

answer attempt 1 out of 2
the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall the triangle angle - sum formula

The sum of the interior angles of a triangle is \(180^{\circ}\). For a right - triangle (one angle is \(90^{\circ}\)), if the angles are \(x^{\circ}\), \(47^{\circ}\), and \(90^{\circ}\), then \(x + 47+90=180\).

Step2: Solve the equation for \(x\)

Simplify the left - hand side of the equation: \(x+137 = 180\).
Subtract 137 from both sides of the equation: \(x=180 - 137\).

Answer:

\(43\)