Question

In ΔABC, if m∠A = 43° and m∠C = 66°, then find m∠B.

(Points : 3)
71°
47°
114°
109°

Answer 1

The measures of the angles in a triangle add up to 180°.

`m \angle A + m \angle B + m \angle C = 180^\circ \\ m \angle A=43^\circ, \ m \angle C = 66^\circ \\ \downarrow \\ 43^\circ+ m \angle B + 66^\circ = 180^\circ \\ m \angle B + 109^\circ = 180^\circ \\ m \angle B =180^\circ - 109^\circ \\ \boxed{m \angle B=71^\circ}`