Question

44.
Two adjacent angles of a parallelogram are in the ratio of 4:5. Find the measure of its smaller angle,​

Answer 1

Answer:

80 degree

Step-by-step explanation:

4x+5x=180

9x=180

x=20

4x= 80 degree is the smallest angle

Answer 2

Given :

⬤ Two adjacent angles of Parallelogram are in Ratio 4 : 5 .

To Find :

⬤ Measure of Smaller Angle .

Solution :

Let :

• The Smaller Angle be = 4x
• The Larger Angle be = 5x

Now : -

As we know that , Sum of all angles of Parallelogram is 180° . Hence ,

$\sf{4x+5x=180^{\circ}}$

9x = 180°

x = 180/9

x = 20

Therefore , The Value of x is 20 .

Hence ,

Smaller Angle = 4x

= 4(20)

= 80°

Larger Angle = 5x

= 5(20)

= 100°

Therefore , The Measure of Smaller Angle is 80° and Measure of Lager Angle is 100° .