Question

Two supplementary angles differ by 34° find the measures of the angle

Answer 1

Hey! Here's your answer!

Let one angle be x. Other should be 180 - x.

x - 34 = 180 - x

2x = 214

x = 107 degree

It's supplement = 73 degree

Hope this helps! :)

Answer 2

We know that two angles are supplementary when they add upto 180.

Let one angle be x.

Then the other angle will be 180 - x.

Now,

Given that Two supplementary angles differ by 34.

= > x + 180 - x = 34

= > 2x - 180 = 34

= > 2x = 214

= > x = 107.

Then,

= > 180 - x

= > 180 - 107

= > 73.

Therefore, the two angles are 107 and 73.

Hope this helps!