Question

two supplementary angle are in the ratio 5:4 .the angle are. ​

Answer 1

Answer:

supplementary.

5x+4x=180

o

⇒9x=180

o

⇒x=20

o

Angles =5x=5×x=100

o

=4x=4×x=80

o

.

Answer 2

Before, finding the answer. Let's find out how we can find the answer.

• In this question, we are asked to find the angles.
• To do that, we have to add the ratios, then divide them by the total measure of supplementary and then, multiply the ratios with the measure.

____________________

Given :

• Ratios = 5:4

To find :

• the measure of angles

Solution :

⇒ Let's add the ratios.

Ratios = 5x + 4x

           = 9x

✥ Measure of supplementary angles is 180°.

⇒ So, now, we have to divide 180 with 9.

9x = 180

  x = 180/9

     = 20°

⇒ Now, let's multiply.

5x = 5 × 20

     = 100°

4x = 4 × 20

    = 80°

Therefore, the angles are 100° and 80°.