Question

applications of probability and geometry
what is the measure of ∠b?
92°
78°
282°
102°

Explanation:

Step1: Recall triangle angle sum

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

Step2: Identify known angles

\(\angle A = 50^\circ\), \(\angle C = 28^\circ\). Let \(\angle B = x\).

Step3: Apply angle sum formula

\(x + 50^\circ + 28^\circ = 180^\circ\).

Step4: Solve for \(x\)

\(x = 180^\circ - 50^\circ - 28^\circ = 102^\circ\).

Answer:

\(102^\circ\) (the option with \(102^\circ\))