Answer:
z = 24°
Step-by-step 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°
