Question

14. In a pentagon, two angles are 40° and 60°,
and the rest are in the ratio 1:3:7. Find the
biggest angle of the pentagon.

Answer 1

$\huge \bold \blue {Answer:-}$

Pentagon's (sum if all the angles) = 540°

Two angles = 40° and 60°

let the angle be x, so that

1x+3x+7x +100° = 540°

11x = 440°

x= $\frac {440}{11}°$

x= 40°

1x =$1 \times 40$ = 40°

3x = $3 \times 40$ = 70°

7x = $7 \times 40$ = 320°

The biggest angle of the pentagon is 320°.

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