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2 years ago

Find the measure of the indicated angle. Need help please. I need explanation

Mathematics

2 answers:

-Dominant- [34]2 years ago

8 0

Answer:

20.12m

Step-by-step explanation:

180 - (12 + 61) = 107° = ∡B

$\frac{23}{sin(107)} = \frac{a}{sin(61)}$ *Cross Multiply*

$a(sin(107)) = 23(sin(61))$ *Divide by sin(107)*

$a = \frac{23(sin(61))}{sin(107)}$ *Solve*

a = BC ≈ 20.12m

Zolol [24]2 years ago

6 0

Answer:

BC =21.03540021

Step-by-step explanation:

We know the measure of angle B since the sum of the angles of a triangle add to 180

A + B+ C = 180

61+ B + 12 =180

B = 180 - 12 -61

B =107

Then we can use the law of sines to find BC

sin B sin A

-------- = -------------

AC BC

sin 107 sin 61

-------- = -------------

23 BC

Using cross products

BC sin 107 = 23 sin 61

BC = 23 sin 61/ sin 107

BC =21.03540021

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