Question

Find the value of x and y


Please help me. Thank you​

Answer 1

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

`(30)/(sin z) =(46)/(sin~80) \\sin~z=(30)/(46) * ~sin~80=(15)/(23) * sin ~80\\z=sin^(-1)( (15)/(23) * sin ~80) \approx~39.96^\circ \approx40^\circ`

z+x=60

40+x=60

x=60-40=20°