Question

(C) (a) 72°, 690, 105, 109 D. Find the value of x in each of the following figures. (a) (b) 60° x 40° 110° D 70° 50°​

Answer 1

Answer:

a) 130° b) 108° c) 140°

Step-by-step explanation:

a) 50° + a = 180° (Linear Pair)

a = 180° - 50°

a = 130°

70° + b = 180° (Linear Pair)

b = 180° - 70°

b = 110°

Both the x are equal

40° + 110° + 130° + x + x = 540° (Angle Sum)

280° + 2x = 540°

2x = 540° - 280°

2x = 260°

x = 260°/2

x = 130°

b) All the sides are equal

x + x + x + x + x = 540° (Angle Sum)

5x = 540°

x = 540°/5

x = 108°

c) 110° + a = 180° (Linear Pair)

a = 180° - 110°

a = 70°

90° + b = 180° (Linear Pair)

b = 180° - 90°

b = 90°

90° + 70° + 60° + x = 360° (Angle Sum)

220° + x = 360°

x = 360° - 220°

x = 140°

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