Question

If an angle is one-third of issupplement, then the measure of the angle is:​

Answer 1

Answer:

We know that two angles are supplementary when they add up to  180.

Let the angle be x.

Then the other angle will be 180 - x.

= > Given that an angle is 1/3rd of its supplement.

= > x = 1/3 * (180 - x)

= > 3x = 180 - x

= > 4x = 180

= > x = 45.

Therefore the measures are 45 and 180 - 45 = 135.

Answer 2

Answer:

x +x/3= 180

4x/3= 180

x= 180×3/4

x = 135degree