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The angles of a quadrilaterals are x⁰, (x-10)⁰, (x+30)⁰ and ( 2x)⁰, then the greater angle is​

User Jero
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1 Answer

3 votes

Answer:

136°

Explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

x + x - 10 + x + 30 + 2x = 360 , simplify left side

5x + 20 = 360 ( subtract 20 from both sides )

5x = 340 ( divide both sides by 5 )

x = 68

Then

largest angle = 2x = 2 × 68 = 136°

User Anis Jonischkeit
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