Question

two supplementary angle are in the ratio 2:7 .find the angle​

Answer 1

Answer:

Let the angles be 2x and 7x

Angles are given supplementary

2x+7x=180 °

9x=180 °

x=20°

So the angles are 2×20 =40 °

and 7×20 =140 °

Answer 2

Given :-

Ratio of the angles of two supplementary angles = 2 : 7

To Find :-

The first angle.

The second angle.

Analysis :-

Consider the common ratio as a variable.

Make an equation accordingly which shows the ratio multiplied with each variable added up is equal to the sum of the supplementary angle.

Then find the value of the variable.

Substitute the value in each angle and find them.

Solution :-

Let the common ratio be 'x'. Then the other two angles would be 2x and 7x.

We know that,

Sum of supplementary angles = 180°

Making an equation,

2x + 7x = 180°

9x = 180°

By transposing,

x = 180/9

x = 20

Finding the angles,

2x = 2 × 20 = 40°

7x = 7 × 20 = 140°

Therefore, the two angles are 40° and 140°.