Question

From the given figure, find the value of each angle.

Answer 1

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Answer 2

In Given Diagram,

Quadrilateral Angles Is 360°,

Hence,

(x°) + (5x - 20°) + (x + 15°) + (2x + 5°) = 360°

x + 5x - 20 + x + 15 + 2x + 5 = 360°

9x - 5 + 5 = 360°

9x + 0 = 360°

9x = 360°

x = $\sf \frac{360°}{9}$

$\underline {\boxed{x = 40}}$

Now, For Each Angle

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• x = 40°

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• 5x - 20°
• = 5(40) - 20
• = 200 - 20
• = 180°

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• x + 15°
• = 40 + 15
• = 55°

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• 2x + 5°
• = 2(40) + 5°
• = 80 + 5
• = 85°

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I hope it helps you....