circles chapter , using figure find value of x and y
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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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