Question

3. Two supplementary angles are such that one is two-third of the other.
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Answer 1

Answer:

The sum of two supplementary angles is 180°

So, lets take one of the angles as x

The other angle is two thirds of x,

So it is 2/3 x

x + 2x/3 = 180

LCM of the denominators are 3

3x/3 + 2x/3 =

5x/3 = 180°

5x = 180 x 3

5x = 540

x = 540/5

x = 108°

So, one angle is 108°

Other angle is 2/3 of 108°

Other angle is 72

The two angles are 108° and 72°

Hope is helps

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Answer 2

Answer:

108°and 72°

Step-by-step explanation:

Let the supplementary angles be x° and 2/3x°

A.T.P,

x+2/3x=180

3x+2x=540

5x=540

x=540/5=108

∴

one angle=x°=108°

Another angle=2/3x°=(2/3*108)°=72°