Question

Two supplementary angles are such that one is two-third of the other. Find them.​

Answer 1

Answer:

The sum of two supplementary angles = 180°

Let one angle be x

The other angle is two third of x = 2/3x

i.e,

x + 2x/3 = 180

LCM = 3

3x/3 + 2x/3 = 180

5x/3 = 180

5x = 180×3

5x = 540

x = 540/5

= 108°

Therefore one angle is 108°

The other angle is 2/3 of 108°

= 72°

The two angles are 108° and 72°

Step-by-step explanation:

Hope this is helpful