Math, asked by varshini6571, 5 months ago

circles chapter , using figure find value of x and y

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Answers

Answered by sharanyasinghania
1

Answer:

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Answered by niral
1

Answer:

Mark as brainliest answer.

Step-by-step explanation:

→ We know that sum of two opposite angles are 180°.

→ So, Let us take

→ ∠P + ∠R = 180°

→ 5Y + Y = 180°

→ 6y = 180

→ y = 180/6

→ y = 30°

→ so ,∠R = 30°

→ ∠p = 5y = (5)(30) = 150°

→ ∠p=150°

→ Now, let us take

→ ∠S + ∠Q = 180°

→ 3x+x = 180

→ 4x = 180

→ x = 180/4

→ x = 45°

→ ∠Q=45°

→ ∠S = 3X = (3)(45)=135°

→ Now,

→ ∠P + ∠R + ∠Q + ∠S = 360°

→ 150° + 30° + 45° + 135° = 360°

→ 360 = 360

→ Hence,

→ ∠P = 150°

→ ∠R = 30°

→ ∠Q = 45°

→ ∠S = 135°

→ x = 45

→ y = 30

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