NEED HELP QUICK! 20 POINTS! Use the Law of Sines to find the measure of Angle R:

Mathematics

1 answer:

Troyanec [42]3 years ago

7 0

Answer:

$\large\boxed{m\angle R\approx76^o}$

Step-by-step explanation:

$\dfrac{\sin R}{SQ}=\dfrac{\sin S}{RQ}\\\\\text{We have:}\\\\SQ=32,\ RQ=26,\ S=52^o\to\sin52^o\approx0.788\\\\\text{Substitute:}\\\\\dfrac{\sin R}{32}=\dfrac{0.788}{26}\qquad\text{multiply both sides by 32}\\\\\sin R\approx0.97\to R=\arcsin(0.97)\\\\R\approx76^o$

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