Question

Find the angle if it is half of its supplement.​

Answer 1

60°

Let the angle be y and its supplement be 180° − y

ABC,

⇒y= 180° − y/2 (Angle half of its supplement)

⇒2y=180 ° − y

⇒2y + y =180 °

⇒3y = 180 °

⇒y= 3/180 °

⇒y=60°

Answer 2

the angle is Ф = 60°

Explanation:

Represent the angle by Ф. Then the supplement of this angle is 180° - Ф. Then the angle is Ф = (1/2)(180 ° - Ф).

Start the solution by multiplying both sides of this equation by 2:

2Ф = 180 ° - Ф.

Combining like terms, we get:

3Ф = 180°

Then the angle is Ф = 60°