Question

Two adjacent angles of a parallelogram are as 2:3 find the measure of each of its angle

Answer 1

Answer:

2:3

let first angle be 2x

and then second angle=3x

2x+3x=180*

5x=180*

x=180*÷5

x=36*

therefore first angle=2x=2×36*=72*

second angle=3x=3×36*=108*

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Answer 2

Answer:

Let the two adjacent angles of the parallelogram be (2x)° and (3x)°.

Atq,

$\: \: \: \: \: \: \: \: 2x + 3x = 180 \\ = > 5x = 180 \\ = > x = \frac{180}{5} \\ = > x = 36$

Hence, the two adjacent angles are (2×36)° = 72° and (3×36)°= 108°

Note :

☆Opposite angles are equal.

☆Opposite sides are equal.