If the supplement of an angle is two-thirds of itself. Determine the a

1.	If the supplement of an angle is two-thirds of itself. Determine the angle and its supplement.
Answer» Given that, Supplement = \(\frac{2}{3}\) of the angle itself Let the angle be x Therefore, Supplement = (180° – x) According to the question (180° – x) = \(\frac{2}{3}\)x 540° - 3x = 2x 5x = 540° x = 108° Hence, supplement = 72° Therefore, the angle will be 108° and its supplement will be 72°.

If the supplement of an angle is two-thirds of itself. Determine the angle and its supplement.

Answer»

Given that,

Supplement = \(\frac{2}{3}\) of the angle itself

Let the angle be x

Therefore,

Supplement = (180° – x)

According to the question

(180° – x) = \(\frac{2}{3}\)x

540° - 3x = 2x

5x = 540°

x = 108°

Hence, supplement = 72°

Therefore, the angle will be 108° and its supplement will be 72°.