In ΔABC, if m∠A = 43° and m∠C = 66°, then find m∠B.
(Points : 3)
71°
47°
114°
109°

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26-01-2015
Mathematics

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In ΔABC, if m∠A = 43° and m∠C = 66°, then find m∠B.
(Points : 3)
71°
47°
114°
109°

Sagot :

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naǫ naǫ · Answer 1 · 2015-01-26T10:15:05-05:00

naǫ naǫ

26-01-2015

The measures of the angles in a triangle add up to 180°.
[tex]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}[/tex]

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