Question

answer the question correctly to continue: triangle abc is similar to triangle xyz. if angle a is 50°, and angle b is 70°, what is the measure of angle c?

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\). So for \(\triangle ABC\), \(\angle A+\angle B +\angle C=180^{\circ}\).

Step2: Substitute the given values

We know \(\angle A = 50^{\circ}\) and \(\angle B=70^{\circ}\). Substitute these into the formula: \(50^{\circ}+70^{\circ}+\angle C = 180^{\circ}\).

Step3: Solve for \(\angle C\)

First, calculate \(50 + 70=120\). Then the equation becomes \(120^{\circ}+\angle C=180^{\circ}\). Subtract \(120^{\circ}\) from both sides: \(\angle C=180^{\circ}- 120^{\circ}\).

Answer:

\(60^{\circ}\)