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in Quadrilaterals by (37.8k points)
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In a quadrilateral, the angles are x°, (x + 10)°, (x+ 20)°, (x + 30)°. Find the angles.

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Best answer

Given angles are x°, (x + 10)°, (x + 20)°, (x + 30)°

Sum of the four angles = x + x + 10° + x + 20° + x + 30° = 4x + 60°

But the sum of the four angles = 360°

4 x 60° = 60° = 360°

4x = 360° – 60° = 300°

x = 300/4 = 75°

∴ The angles are x = 750

x + 10°- 75°+ 10° = 85°

x + 20° = 75° +20° = 95°

x + 30° = 75° + 30° = 105°

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