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In the given figure, PQR is a straight line. Find the value of x.​

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In the given figure PQR is a straight line find x then complete the following : ∠AQB = ……..

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asked Jul 15, 2019 in Class VI Maths by aditya23 (-2,145 points)

In the given figure, PQR is a straight line. Find x. Then complete the following:

(i) ∠AQB = ……..

(ii) ∠BQP = ……..

(iii) ∠AQR = …….

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answered Jul 15, 2019 by muskan15 (-3,443 points)

PQR is a straight line

∠AQP = x + 20°

∠AQB = 2x + 10°

∠BQR = x – 10°

But ∠AQP + ∠AQB + ∠BQR = 180°

⇒ x + 20° + 2x + 10° + x - 10°= 180°

⇒ 4x + 20° = 180°

⇒ 4x = 180°- 20° = 160°

⇒ x = \frac { 160 }{ 4 }° = 40°

(i) ∠AQB = 2x + 10° = 2 x 40° + 10° = 80° + 10° = 90°

∠AQP = x + 2(T = 40° + 20° = 60°

∠BQR = x – 10° = 40° – 10° = 30°

(ii) ∠BQP = ∠AQP + ∠AQB = 60° + 90° = 150°

(iii) ∠AQR = ∠AQB + ∠BQR = 90° + 30° = 120°

Answer:

1

Answer 2

x = 65°

This is the answer.

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