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A, O and B lie on a straight line segment where a = 30°, b = 63° and c = 75°. State the value of the angles: i) ∠AOB ii) ∠ZOB iii) ∠XOY iv) ∠AOY v) ∠YOZ The diagram is not drawn to scale.
AOB = a + b + x + c = 180°
ZOB = c = 75°
XOY = b = 63°
AOY = a + b = [ 30 + 63 ] = 93°
YOZ = x = 180 - 30 - 63 - 75 = 12°