Lets practice the law of sines!

Geometry Level 3

Given triangle ABC, where AB=10, BC=7, and the measure of angle A= 23 degrees. Find the measure of angle C. If it is a decimal, round it to the nearest whole number.

Hint: Draw a picture


The answer is 34.

Aashish Cheruvu by Aashish Cheruvu , 14, USA

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1 solution

Consider my diagram. By sine rule, we have

sin ⁡ C 10 = sin ⁡ 23 7 \dfrac{\sin C}{10}=\dfrac{\sin 23}{7}

By the use of a calculator, we find that

C ≈ 3 4 ∘ C \approx \boxed{34^\circ}

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