Question

if two adjacent angles of a parellelogram are in the ratio 3:7 then find the measures of all the angles of the parallelogram .​

Answer 1

Adjacent angles of parallelogram = 180

let each angle be 'x'

"3x+2x = 180

5x = 180

x = 180÷5

x = 36

3x = 108

2x = 72

First angle = 36*3 = 108

Second angle = 36*2 = 72

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Answer 2

Step-by-step explanation:

Two adjacent angles of a parallelogram are in the ratio 3:7

Let angle A be (3×x)° = 3x°

And angle D = (7×x)° = 7x°

We know that,

Sum of adjacent angles of a parallelogram = 180°

angle A + angle D = 180°

3x°+7x° = 180°

3x+7x = 180

10x = 180

x = 180/10

x = 18

angle A = (3×18)° = 54°

angle D = (7×18)° = 126°

angle C = angle A (Opposite angles of a parallelogram are equal)

angle C = 54°

angle B = angle D (Opposite angles of a parallelogram are equal)

angle B = 126°