Question

The angles of a quadrilateral are (4x°) , (7x°) , ( 15x°) and (10x°) . find the smallest and largest sngles of the quadrilateral .

Answer 1

Hi friend
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Your answer
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Angles of a quadrilateral = (4x°), (7x°), (15x°) and (10x°)

We know that,
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Sum of all angles in a quadrilateral is equal to 360°.

Then,
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4x + 7x + 15x + 10x = 360

=> 36x = 360

=> x = 360/36

=> x = 10

So,
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Smallest angle = 4x = (4 × 10)° = 40°

Largest angle = 15x = ( 15 × 10)° = 150°


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