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