Question

6. Find the unknown angle in each of the following figures
​

Answer 1

Answer:

∠R = z

z + 110° = 180° (Linear Pair)

z = 180° - 110°

z = 70°

Exterior Angle Property states that the sum of interior opposite angles is the exterior angle.

∠Q + ∠R = x (Exterior Angle Property)

30° + 70° = x

100° = x

Hence the unknown angle is 100°