Question

PQRS is a parallelogram. One pair of its adjacent angles are in the ratio 2:7.
Find all 4 angles of it. Pls tell the working

Answer 1

Given, the angles are in ratios 2:7
Let angles be 2x and 7x

We know that sum of adjacent angle in a parallelogram is 180°

Hence, 2x + 7x = 180°

=> 9x = 180°
=> x = 180/9
x = 20°


Now first angle = 2x = 2 × 20 = 40°
Second angle = 7x = 7 × 20 = 140°

We know that opposite angles are equal in a parallelogram so
third angle = first angle = 40°
fourth angle = second angle = 140°

So the angles are

40°, 140°, 40°, 140°

Hope it helps dear friend ☺️✌️

Answer 2

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Sum of all angles =360°

let the angles be 2x and 7x


then,


7x+2x+7x+2x=360°

18x=360°

x=20

hence ,

angles are:

140°,40°,140°,40°

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