Question

find the measure of the missing angle. (2 pts / 3 pts)
9.
10.
22°
130° ?
? =

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

Let the missing angle be \(x\). Then \(22^{\circ}+130^{\circ}+x = 180^{\circ}\).

Step3: Solve for \(x\)

First, add \(22^{\circ}\) and \(130^{\circ}\): \(22 + 130=152\). So the equation becomes \(152^{\circ}+x=180^{\circ}\). Then \(x = 180^{\circ}-152^{\circ}\).

Answer:

\(28^{\circ}\)