Question

The measure of two adjacent angle of parallelogram are in the ratio 3:2 . find the measure of each of the angle of parallelogram.


please give full solutions..​

Answer 1

let the angles be like 3x,2x

for a parallelogram, adjacent angles are corresponding angles

=>3x+2x=180°

=>5x=180°

=>x=36°

so, the angles are 108°,72°

Answer 2

SOLUTION:-

Given

• Two adjacent angle of llgm are in ⠀⠀⠀ratio 3:2

To find

• All angles of llgm

Explanation

Let Two adjacent angles A or B of llgm ABCD be 3x and 2x respectively.

Since

The adjacent angles of a llgm are Supplementary.

∠A+∠B= 180°

==> 3x+2x =180°

==> 5x=180°

==> x=180°/5

==> x= 36°

Angles are ⤵️

3x = 3×36° = 108°

2x = 2×36° = 72°

Since

Opposite Angles are equal in llgm

Therefore

∠C= ∠A= 108°

And

∠D= ∠B= 72°

Hence,

•∠A=108°

•∠B=72°

•∠C= 108°

•∠D= 72°

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