Question

the adjacent angles of a parallelogram are in the ratio of 2:3 . the measures of angles are _​

Answer 1

Question:-

the adjacent angles of a parallelogram are in the ratio of 2:3 . the measures of angles are_________.

Answer:-

• The adjacent angles of parallelogram are 72° and 108°.

Solution:-

• Ratio = 2:3

Put x in the ratio

• First angle = 2x
• Second angle = 3x
• Sum of angles = 180°(ADJACENT ANGLES)

$\large{ \tt : \implies \: \: \: \: 2x + 3x = 180 \degree}$

$\large{ \tt : \implies \: \: \: \: 5x = 180 \degree}$

$\large{ \tt : \implies \: \: \: \: x = \frac{180}{5} }$

$\large{ \tt : \implies \: \: \: \: x = 36 \degree}$

• The value of x is 36°

_________________________

• First angle = 2x = 2×36 = 72°
• Second angle = 3x = 3×36 = 108°

_________________________

The adjacent angles of parallelogram are 72° and 108°.

Answer 2

AnSwer -:



The four angles angles of parallelogram

are 72 degree , 108 degree, 72 degree

and 108 degree.

_______________________________

Explanation-:

•The measure of a adjacent angles of

parallelogram are supplementary and

add up to 180 degree.

•Opposite angles of parallelogram are

equal.

_______________________________

Given ,

Adjacent angles of parallelogram are in

ratio 2:3

To find ,

Measure of each angle of parallelogram.

_______________________________

Let the adjacent angles of parallelogram

be 2x and 3x

We know that ,

The measure of adjacent angle of

parallelogram are supplementary.

Now ,

2x + 3x = 180 degree

5 x = 180 degree

x = 180/5

x = 36 degree

Therefore,

Adjacent angles of parallelogram are-:

2x = 2 x 36 = 72 degree

3x = 3 x 36 = 108 degree

Now ,

The two adjacent angles of

parallelogram are 72 degree and 108

degree

We know that,

Opposites angles of parallelogram are

equal

Hence ,

The four angles angles of parallelogram

are 72 degree , 108 degree, 72 degree

and 108 degree.

______________________________

Parallelogram -:A parallelogram is a flat

shape with four straight sides and the

opposite sides are parallel and equal to

each other

_______________________________