Question

angle a in triangle abc measures 16°. angle b measures 21°. what is the measure of angle c?

Explanation:

Step1: Recall angle - sum property

The sum of angles in a triangle is 180°. So, \(A + B + C=180^{\circ}\).

Step2: Rearrange to find angle C

\(C = 180^{\circ}-A - B\).

Step3: Substitute given values

Given \(A = 16^{\circ}\) and \(B = 21^{\circ}\), then \(C=180^{\circ}-16^{\circ}-21^{\circ}\).
\(C = 143^{\circ}\).

Answer:

\(143^{\circ}\)