Question

the measures of two supplementary angles differ by 50° . find the two angles​

Answer 1

Answer:

The angles are 65° and 115°

Step-by-step explanation:

Let the angles be 'x' and 'x+50°'

Supplementary angles add to 180°

x + (x + 50°) = 180°

2x + 50° = 180°

2x = 180° - 50°

2x = 130°

x = 130°/2 = 65°

x = 65°. x + 50° = 65°+50° = 115°

The angles are 65° and 115°