Question

If the supplement of an angle is two-third of itself. Find the angles​

Answer 1

Answer:

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Step-by-step explanation:

Solution..:--

Let the angle be x.

Its supplement = 180 - x.

                A.T.Q.

180 - x = 2/3 x.

=> 3(180- x) = 2x.

=> 540 -3x = 2x.

=> 540 = 5x.

=> x = 540 / 5.

=> x = 108.

Now, the angle's supplement = 180 - x = 180 - 108 = 72

Hence, the angle is 108 and its supplement is 72.

Answer 2

Given that  

Supplementary of an angle = 2/3 of angle itself.  

The angle measured be ‘x’ say.  

Supplementary angle of x will be (180-x)o

It is given that Hence, supplement = 180 -108 = 72o

Angle will be 108o and its supplement will be 72o .

Hence, supplement = 180 -108 = 72o

Angle will be 108o and its supplement will be 72o .