Question

this is the only question i didnt understand

Answer 1

Answer:

4x = 80

5x = 100

Step-by-step explanation:

4x+5x = 180

9x = 180

x= 180/9 = 20

4x = 80

5x = 100

Answer 2

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

The angles are 80° and 100°

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

Given :

The Ratio of the angles = 4 : 5

To find :

The Measures of the angles

Solution :

Supplementary angles are the angles which sum up and make 180°.

Consider one angle as 4x

Consider the Second angle as 5x

★ Equation :

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

$\sf{\implies} \: 4x + 5x = 180$

$\sf{\implies} \: 9x = 180$

$\sf{\implies} \: x = \dfrac{180}{9}$

$\sf{\implies} \: x = 20$

$\rule{300}{1}$

Value of 4x

$\sf{\implies} \: 20 \times 4$

$\sf{\implies} \: 80^{\circ}$

$\rule{300}{1}$

Value of 5x

$\sf{\implies} \: 20 \times 5$

$\sf{\implies} \: 100^{\circ}$

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

$\rule{300}{1}$

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

$\sf{\implies} \: 100 + 80 = 180$

$\sf{\implies} \: 180 = 180$

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