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Yuliya22 [10]
3 years ago
7

Find the value of x and yPlease help me. Thank you​

Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Answer:

Step-by-step explanation:

let each angle=A

A+A+A=180

3A=180

A=180/3=60°

as the angles are equal so sides are equal.

16+y=46

y=46-16=30

applying sine formula

\frac{30}{sin z} =\frac{46}{sin~80} \\sin~z=\frac{30}{46} \times ~sin~80=\frac{15}{23} \times sin ~80\\z=sin^{-1}( \frac{15}{23} \times sin ~80) \approx~39.96^\circ \approx40^\circ

z+x=60

40+x=60

x=60-40=20°

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