Question

The measure of two adjacent angle angle of a parallelogram are in the ratio 4 ratio 5 find the measure of each angle the parallelogram

Answer 1

Step-by-step explanat:

sum of the adjacent angles in any parallelogram= 180

ratio of adjacent angles = 4:5 (given)

let first angle = 4x

second angle = 5x

4x+5x=180

9x=180

x=180/9

x= 20

therefore

required angles are

first angle = 4x= 4*20 =80

second angle = 5x= 5*20 =100

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Answer 2

Answer:

The angles are 100°, 80°, 100° and 80°.

Step-by-step explanation:

Given :

Ratio of adjacent angles = 4 : 5

To find :

Measure of each angles of the Parallelogram

Solution :

Let the measure of the angles be -

• One as 4x
• Second as 5x

We Know that -

Adjacent Angles of the Parallelogram sum up and make 180°.

$\longrightarrow$ 4x + 5x = 180°

$\longrightarrow$ 9x = 180

$\longrightarrow$ x = 180/9

$\longrightarrow$ x = 20

$\rule{300}{1.5}$

★ Value of 4x

$\longrightarrow$ 4(20)

$\longrightarrow$ 80°

One angle = 80°

$\rule{300}{1.5}$

★ Value of 5x

$\longrightarrow$ 5(20)

$\longrightarrow$ 100°

Second Angle = 100°

$\rule{300}{1.5}$

According to the property of parallelogram, opposite angles are equal.

Hence, the angles are -

• 100°
• 80°
• 100°
• 80°

$\therefore$ The angles are 100°, 80°, 100° and 80°.