Question

in the given figure,find the value of x also find the measures of remaining angles​

Answer 1

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~We know that the figure is Quadrilateral. We also know that the sum of a Quadrilateral is 360°.

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S O L U T I O N :-

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→ Sum of a quadrilateral = 360°

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→(2x + 10)° + (3x - 20)° + (3x + 10)° + x = 360°

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→2x + 3x + 3x + x + 10 - 20 + 10 = 360°

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→9x - 10 + 10 = 360°

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→9x = 360°

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→x = 360/9

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→x = 40

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★ Substituting all the values :-

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→(2x + 10)° = (2×40+10)° = (80+10)° = 90°

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→(3x - 20)° = (3×40 - 20)° = (120 - 20)° = 100°

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→(3x + 10)° = (3×40 + 10)° = (120 + 10)° = 130

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→ x = 40°

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★ Verification:-

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→ 90° + 100° + 130° + 40° = 360°

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