Question

sum of two supplementary angles are in the ratio 4:3. find the angles​

Answer 1

Given :-

Ratio of two supplementary angles = 4 : 3

To Find :-

The first angle.

The second angle.

Analysis :-

Consider the common ratio as a variable.

Multiply the variable to each angle given in the ratio.

Make an equation accordingly.

Then find the value of the variable and substitute it in the angles.

Solution :-

Consider the commo ratio as 'x'. Then the two angles would be '4x' and '3x'.

We know that,

Sum of supplementary angles = 180°

Making an equation,

4x + 3x = 180

7x = 180

x = 180/7

x = 27.7

Finding the angles,

First angle = 4x

= 4 × 27.7

= 102.8°

Second angle = 3x

= 3 × 27.7

= 77.1°

Therefore, the two angles are 102.8° and 77.1°.

Answer 2

Step-by-step explanation:

Given:

• Sum of two supplementary angles are in the ratio = 4:3

To find:

• Angles = ?

Solution:

》Supplementary angle = Sum of two angles whose sum gives the result 180°.

Let us assume the actual angles be 4x and 3x.

We know, sum of these angles is 180°

==> 4x + 3x = 180°

==> 7x = 180°

==> x = 180°/7

==> x = 25.71 [approximate]

>> First angle = 4x

--> 4 × 25.71

--> 102.8° [approx.]

>> Second angle = 3x

--> 3 × 25.71

--> 77.1° [approx.]

Hence, the angles are = 102.8° and 77.1°

Hope it helped u dear...