Math, asked by ryan1357, 6 months ago

The angles of a quadrilateral are in AP such that the greatest is double the least calculate all the angles of the quadrilateral.​

Answers

Answered by harsh8813945626
0

Answer:

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Answered by PB1206
2

Answer:

 \frac{\pi}{3}

Step-by-step explanation:

Let the four angles of a quadrilateral are

(a−3d)

, (a−d)

, (a+d)

and (a+3d)

∴a−3d+a−d+a+d+a+3d=360

⟹a=90

But the greatest angle is double the least, i.e.,

a+3d=2×(a−3d)=2a−6d

∴9d=2a−a=a=90

∴d=

9

90

=10

∴ Least angle a−3d=90

−3×10

=60

=

3

π

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