Question

In the figure find the values of x and y.step by step explanation please ​

Answer 1

Answer:

x° = 135°

y° = 80°

SOLUTION:

angle A + angle b + angle c is equal to 180 degree

50°+ 30°+ angle b =180°

80°+angle b= 180°

angle b=180°-80° = 100°

ABD is equals to 180 degree because it's a straight line

angle b + y°=180°

100°+y°=180°

y°=180°-100°=80°

let the internal angle of x° be z°

z°+y°+55°=180°

z°+80°+55°=180°

z°=180°-135°=45°

CB equals to 180 degree because it's a straight line

z°+x°=180°

45°+x°=180°

x°=180°-45°=135°

Therefore;

x°=135°

y°=80°

Answer 2

x=135°, y=80°

Hope it helps

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