Question

two interior angles of a triangle each measure 34°. what is the measure of the third interior angle? 56°, 112°, 292°, 146°

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Let the third angle be \(x\)

We know two angles are 34° and 34°. So, \(x + 34^{\circ}+34^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

\(x=180^{\circ}-(34^{\circ} + 34^{\circ})=180^{\circ}-68^{\circ}=112^{\circ}\)

Answer:

112°