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Temka [501]
3 years ago
7

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

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0
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}
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Step-by-step explanation:

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