Question

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

Explanation:

Step1: Recall triangle angle sum property

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

Step2: Calculate the sum of the two given angles

Each of the two angles is \(34^\circ\), so their sum is \(34^\circ+34^\circ = 68^\circ\).

Step3: Find the third angle

Let the third angle be \(x\). Then, using the angle sum property, \(x + 68^\circ=180^\circ\). Solving for \(x\), we get \(x = 180^\circ - 68^\circ=112^\circ\).

Answer:

\(112^\circ\)