Question

problem 8: spiral review determine the missing angle measure in the isosceles triangle. show or explain your thinking.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In an isosceles triangle, two angles are equal. Let the equal angles be \(x\) each and the given angle be \(120^{\circ}\).

Step2: Set up the equation

We have \(x + x+120^{\circ}=180^{\circ}\), which simplifies to \(2x+120^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(120^{\circ}\) from both sides: \(2x=180^{\circ}- 120^{\circ}=60^{\circ}\). Then divide both sides by 2: \(x = 30^{\circ}\).

Answer:

The measure of the missing angles is \(30^{\circ}\) each.