Question

In this figure

Angle x is 35 degrees less than angle y,angle z is a right angle ,How much is angle x and angle y?

Answer 1

∠y = 62.5°

∠x = 27.5°

Explanation:

z is right angle. ∠z = 90°

∠x = ∠y - 35

∠x + ∠y + ∠z = 180 {Angle sum property of triangle}

y - 35 + y + 90 = 180

y + y - 35 + 90 = 180 {Combine like terms}

2y + 55 = 180

2y = 180 -55 {Subtract 55 from both sides}

2y = 125 {Divide both sides by 2}

y = 125 /2

∠y = 62.5°

∠x = 62.5 - 35 = 27.5°