Question

find the measure of angle c.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, in triangle ABC, ∠A+∠B + ∠C=180°.

Step2: Identify known angles

We know that ∠A = 111° and ∠B = 45°.

Step3: Solve for ∠C

∠C=180°−∠A - ∠B. Substitute ∠A = 111° and ∠B = 45° into the formula: ∠C=180°−111°−45°.
∠C = 24°.

Answer:

24°