Question

Find two supplementary angle are in the ratio of 2:
9 find the angles please help guys I will mark you as brainlist Pls answer me ​

Answer 1

Answer:

The given ratio of supplementary angles is 4:5

Let the angles be 4x and 5x

⇒ 4x+5x=180

o

⇒ 9x=180

o

⇒ x=

9

180

o

⇒ x=20

o

⇒ 4x=4×20

o

=80

o

⇒ 5x=5×20

o

=100

o

∴ Two supplementary angles are 80

o

and 100

o

.

Answer 2

Answer:

Step-by-step explanation:

Let the measure of one of the supplementary angles be a .

Measure of the other angle is 2 times a .

So, measure of the other angle is 2a .

If the sum of the measures of two angles is 180° , then the angles are supplementary.

So, a+2a=180°

3a=180°

To isolate a , divide both sides of the equation by 3 .

3a3=180°3 a=60°

So let the angle be 2x and 9x

2x+9x=180°

11x=180°

x=180°/11

x=16.3

2x=16.3x2=32.6°

and 9x= 9 x 16.3= 146.7°.

Hope this is helpful.

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