Question

. The angles of a quadrilateral are in the ratio 7:6:7:4. Find the measure of
each angle.​

Answer 1

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The measure of the angle of a quadrilateral are in the ratio 2:3:7:6 find their measure in degree and radians. State with reasons whetherthe quadrilateral is cyclic.

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Answers

maria9

maria9 Ace

Let the angles be 2x , 3x, 7x and 6x

we know

2x + 3x + 7x + 6x = 360

18x=360

x= 20

so

the angles are-

40° , 60° , 140° , 120°

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now when the sum of opposite interior angles are 180° it is cyclic

now 140 + 40 = 180

therefore it is cyclic