Question

the supplementary angles differ by 34 degrees. find the angles​

Answer 1

Let the smaller angle be x

o

Since the two angles differ by 34

o

, the bigger angle =x+34

o

Since the sum of the supplementary angles is 180

o

We have x+(x+34)=180

o

2x+34=180

o

2x=180−34=146

o

x=

2

146

o

=73

o

Therefore smaller angle =x=73

o

Bigger angle =x+34=73+34=107

o