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3 years ago

Can someone help me with this question "Given the triangle below, what is m (angle) < B, rounded to the nearest tenth?

Mathematics

1 answer:

JulsSmile [24]3 years ago

8 0

The answer
the sum of the angles in a triangle is always 180°
m < B + m < A + m < C = 180°,
let's find m < B,
by applying sinus rule
14/sinB=10/sinC, so sinB= 10xsinB = 14 x sinC and therefore,
sinB=( 14/10 )sinC =7/2 sin 36° =0.82, so arcsinB=55.08°
the answer is C 55.4°

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