Question

the measure of two angles that are a linear pair are 3x and 2x find the angles ​

Answer 1

Answer:

Step-by-step explanation:

The measure of the angles in the linear pair is 3x and 2x ..

According to the linear pair angles

3x + 2x = 180°

5x = 180°

Therefore, x= 180/5

x = 36°

Therefore the angles are

3x = 3 X 36 = 108°

2x = 2 X 36 = 72°

Therefore the two angles are 108 degree and 72 degree

Hope it helps you...

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The angles are 108° and 72°.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Measures of the two angles = 3x and 2x

The angles are Linear Pairs

To Find :

The measure of the angles

Solution :

Linear Pair of angles are the adjacent angles and are Supplementary angles. The sum of their angles is 180°.

Angles are -

• 3x
• 2x

★ $\boxed{\sf{3x+2x=180}}$

$\longrightarrow$ 3x + 2x = 180°

$\longrightarrow$ 5x = 180

$\longrightarrow$ x = 180/5

$\longrightarrow$ x = 36

$\rule{300}{1.5}$

★ Value of 3x

$\longrightarrow$ 3 × 36

$\longrightarrow$ 108°

$\rule{300}{1.5}$

★ Value of 2x

$\longrightarrow$ 2 × 36

$\longrightarrow$ 72°

$\therefore$ The angles are 108° and 72°.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

Add both the Measures of the angles and check if they add up and make 180°.

$\longrightarrow$ 108° + 72°

$\longrightarrow$ 180°

$\therefore$ The angles are 108° and 72°.