Math, asked by qutub, 1 year ago

Two supplementary angles are in ratio of 2:3 . Find the angles

Answers

Answered by AR17
118
Hello friend !!!

Here's the answer you are looking for

Let the two angles be 2x and 3x.

Since they are supplementary, their sum is 180.

so
2x + 3x = 180

5x = 180

x = 180/5 = 36

Thus the angles are 72° and 108°



★★ HOPE THAT HELPS ☺️ ★★
Answered by pulakmath007
5

The angles are 72° and 108°

Given :

Two supplementary angles are in ratio of 2 : 3

To find :

The angles

Solution :

Step 1 of 2 :

Form the equation

Here it is given that two supplementary angles are in ratio of 2 : 3

Let the angles are 2x and 3x

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

So by the given condition

2x + 3x = 180°

Step 2 of 2 :

Find the angles

2x + 3x = 180°

⇒ 5x = 180°

⇒ x = 180°/5

⇒ x = 36°

First angle = 2x = 72°

Second angle = 3x = 108°

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