Question

angle.
-) Two supplementary angles are in the ratio 4:5. Find the angles.
m unnlementary angles differ hy 480. Find the angles.​

Answer 1

The question should be "Two supplementary angles are in the ratio 4:5. Find the angles".

Given,

Ratios of the supplementary angles = 4:5

The difference between the two angles = 480

Sum of two supplementary angles = 180°

let the ratio be x

According to the problem,

5x + 4x = 180°

9x = 180

x = 180/9

x = 20

Then, the angles are :

5x = 5(20) = 100°

4x = 4(20) = 80°

Therefore, the angles are 100° and 80°

Answer 2

$\textbf{\underline{\underline{Exact Question :-}}}$

Two supplementary angles are in the ratio 4:5. Find the angles.

$\textbf{\underline{\underline{Answer :-}}}$

The angles as 80° and 100°.

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

The Ratio of angles = 4 : 5

The angles are = Supplementary angles

To find :

The measures of angles

Solution :

Consider one Angle as 4x

Consider the second as 5x

We know that, Supplementary angles sum up and make 180°.

★ Equation Formed :

$\boxed{\tt{4x + 5x = 180}}$

$\tt{\implies} \: 4x + 5x = 180 \\ \tt{\implies} \: 9x = 180 \\ \tt{\implies} \: x = \dfrac{180}{9} \\ \tt{\implies} \: x = 20$

Value of 4x

$\tt{\implies} \: 4 \times 20 \\ \tt{\implies} \: 80$

Value of 5x

$\tt{\implies} \: 5 \times 20 \\ \tt{\implies} \: 100$

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

$\textbf{\underline{\underline{Verification :-}}}$

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

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