Question

two supleplemetary angles differ by 50 .find the measure of each angle​

Answer 1

Step-by-step explanation:

let two angles be 'x' and 'x+50'

in supplementary the sum of two angles = 180°

x + x + 50 = 180

2x + 50 = 180

2x = 180 - 50

2x = 130

x = 130/2

x = 65°

so..... one angle is x = 65°

and another angle is x + 50 = 65 + 50 = 115°

Answer 2

Let, one of the angle be, 'x'

The other angle is (x+50)

                              = x+50

By condition,

x+x+50=180 [Linear pair]

or, 2x = 180-50

or, x = 130/2

or, x = 65

So, the angles are 65 and

(65+50)

= 115