Question

find the measure of two supplementary angle diff by 28 degree​

Answer 1

Answer:

Let one of the angle be x.

Other angle = x+28

Acc. to the question,

x + (x+28) = 180

2x + 28 = 180

2x = 180-28 = 152

x = 152/2 = 76

So, first angle = x = 76

other angle = x+28 = 76+28 = 104

Step-by-step explanation:

Answer 2

Answer:

Let Ø1 & Ø2 be two supplementary angles.

According to the given condition

» Ø1 - Ø2 = 28 ... (1)

Sum of supplementary angles is 180⁰

» Ø1 + Ø2 = 180 ... (2)

Add (1) & (2), we get

» 2Ø1 = 208

» Ø1 = 104

Substitute in eq (1)

» 104 - Ø2 = 28

» Ø2 = 76

Therefore, the required supplementary angles are 104⁰ and 76⁰.