Question

a triangle has angle measure of 23° and 35°. what is the measure of the third angle? a. 32° b. 90° c. 122° d. 180°

Explanation:

Step1: Recall the sum of angles in a triangle

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

Step2: Calculate the sum of the two given angles

\(23^{\circ}+35^{\circ}=58^{\circ}\)

Step3: Find the third - angle

Let the third angle be \(x\). Using the angle - sum property \(x = 180^{\circ}-(23^{\circ}+35^{\circ})\). Substitute the sum of the two angles: \(x=180^{\circ}-58^{\circ}=122^{\circ}\)

Answer:

C. \(122^{\circ}\)