Question

Whats the measure of z

Answer 1

z = 24°

Explanation:

Angle on a straight line= 180°

90 + 66 + z = 180°

156 + z = 180°

z = 180° - 156°

z = 24°

let y be 2x

90 + 66 + 24 + X + 2x = 360° (angles at a point)

180° + 3x = 360°

3x = 360° - 180°

3x = 180°

divide both sides by 3

3x/3 = 180/3

X = 60

2x = 2(60) = 120°

therefore X = 60°

Y = 120°

90° + 66° + 24° + 60° + 120° = 360°