Question

An angle is one fifth of its supplement what is the measure of the angle

Answer 1

Answer:

30°

Step-by-step explanation:

• let the angle be x
• other angle = one fifth of its supplement = 1/5 x
• sum of supplementary angles = 180°

$x + \frac{1}{5} x = {180}^{o} \\ \frac{5x + x}{5} = {180}^{o} \\ 5x + x = {180}^{o} \times 5 \\ 6x = 900 \\ x = \frac{900}{6} \\ x = {150}^{o}$

• one fifth of supplement =
• $= \frac{1}{5} x = \frac{1}{5} \times 150 = {30}^{o}$