Question

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

Answer 1

Answer:

let we get measure of the first triangle is 3x

measure of the second triangle is 2x

therefore 3x+2x=180.....( measure of adjacent angle of parallelogram)

therefore 5x=180

x=180/5

therefore x= 36

therefore first angle= 3x

hence 3×36=108

therefore second angle = 2x

hence 2×36=72

therefore opposite angles of parallelogram are congruent

so measure of all angles of parallelogram are 108,72,108,72 .

You can draw a parallelogram and name it

Mark as brainliest please

hope it helps you

Answer 2

${\huge{\underline{\underline{\sf{\blue{Solution:-}}}}}}$

Given:-

__________

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

To find :-

____________

Measure of each of the angle of the parallelogram.

Step-by-step explanation:

______________________________

Let ABCD be a parallelogram such that ∠A : ∠B = 3 : 2

Let ∠A = 3x and ∠B = 2x

Since,

_______

The sum of adjacent angles (any pair) of a parallelogram are 180°

Therefore,

___________

∠A + ∠B = 180°

=> 3x + 2x = 180 °

=> 5x = 180 °

$= > x = \frac{ 180 °}{5 } = 36°$

Therefore,

___________

∠A = 3x = 108°

and ∠B = 2x = 72°

Since,

_______

Opposite angles of a parallelogram are equal , therefore ,

∠C = ∠A = 180° and ∠D = ∠B = 72°