Question

what is the measure of angle b?
a 50°
c 28°
options: 78°, 92°, 102°, 282°

Explanation:

Step1: Recall triangle angle sum

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

Step2: Calculate angle B

Let angle \(A = 50^\circ\), angle \(C = 28^\circ\), angle \(B = x\). Then \(x + 50^\circ + 28^\circ = 180^\circ\). Solve for \(x\): \(x = 180^\circ - 50^\circ - 28^\circ = 102^\circ\).

Answer:

\(102^\circ\) (corresponding option: 102°)