Question

Four angles of a quadrilateral are in the ratio 1: 4: 7 : 6. Find its largest angle

Answer 1

Answer:

114 DEGREE

Step-by-step explanation:

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Answer 2

let, the ratios be 1x, 4x, 7x, and 6x.

now,

1x+4x+7x+6x=360° (sum of all angles of a quadrilateral)

or, 18x=360°

or, x=360°/18

∴ x=20°

Again, keeping value of x,

1x = 1×20° =20°

4x = 4×20° = 80°

7x = 7×20° = 140°

6x = 6×20° = 120°

...the largest angle is 140°

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