Two supplementary angles differ by 34. find the angles..

Question

asked Dec 20, 2021 66.1k views

1 Answer

David Andrei Ned · Answer 1 · 2021-12-26T09:02:05+0000

Answer:

107°

73°

Explanation:

Let the two supplementary angles be x° and y°.

x + y = 180....(1)

Since, supplementary angles differ by 34.

Therefore,

x - y = 34....(2)

Adding equations (1) & (2)

x + y = 180

x - y = 34

_________

2x = 214

x = 214/2

x = 107°

Plug x = 107 in equation (1)

107 + y = 180

y = 180- 107

y = 73°