Question

two adjacent angles of a parallelgoram are in the ratio 2:3 find the measure of all the four angles ​

Answer 1

Answer:

72 and 108 and 72 and 108

Step-by-step explanation:

Adjacent angles of parallelogram are supplemet so

2x+3x=180

5x=180

x=36

put the value

72 and 108

opposite angle are opposite

so 72 and 108and 72 and 108

Answer 2

Answer:

• Measures of four angles of the parallelogram are 72° , 108° , 72° , 108°.

Given:

• Two adjacent angles of a parallelgoram are in the ratio 2:3.

To find:

• Find the measure of all the four angles?

As we know that,

The sum of adjacent angles of a parallelogram is 180°

Solution:

Let the adjacent angles be 2x and 3x

So, 2x + 3x = 180°

↬5x = 180°

↬x = 180/5

↬x = 36°

Adjacent angles ( 2x , 3x ) :

• 2x = 2 × x = 2 × 36 = 72°
• 3x = 3 × x = 3 × 36 = 108°

We know that, Opposite angles of a parallelogram are equal.

Therefore, Angles of the parallelogram are 72° , 108° , 72° , 108°.