Question

On a line two supplementary angles are in the ratio of 5:1 .The two angles will be

Answer 1

Answer:

Step-by-step explanation:

Let common multiple be x

So angles are 5x and1x

So x+5x=180

6x=180

Therefore,x=30

The angles are 5×30 and 1×30

= 150 and 30

Answer 2

The angles are 150° and 30°

Given :

Two supplementary angles are in ratio of 5 : 1

To find :

The angles

Solution :

Step 1 of 2 :

Form the equation

Here it is given that two supplementary angles are in ratio of 5 : 1

Let the angles are 5x and x

We know that two angles are said to be supplementary if sum of the angles = 180°

So by the given condition

5x + x = 180°

Step 2 of 2 :

Find the angles

5x + x = 180°

⇒ 6x = 180°

⇒ x = 180°/6

⇒ x = 30°

First angle = 5x = 5 × 30° = 150°

Second angle = x = 30°

Hence the angles are 150° and 30°

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