Question

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Answer 1

Answer:

c = 45 (linear pair)

z =85 (sum of traingle is 180^0

Answer 2

Answer:

x = 85°

Step-by-step explanation:

∠C = z

z + 135° = 180° (Linear Pair)

z = 180° - 135°

z = 45°

∠A + ∠B + ∠C = 180° (Angle Sum property of triangle)

50° + x + 45° = 180°

50° + 45° + x = 180°

95° + x = 180°

x = 180° - 95°

x = 85°

Hence the unknown angle x is 85°

OR (we can use exterior angle property)

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

Hence, 50° + x = 135°

x = 135° - 50°

x = 85°

Both ways can be used to find the unknown angle x

Hope it helps