Question

Two supple mentary angles differ by 34 .Find the angles​

Answer 1

Let the smaller angle be x°

Since the two angles differ by 34°, the bigger angle =x+34°

Since the sum of the supplementary angles is180°

We have x+(x+34)=180°

2x+34=180°

2x=180−34=146°

x=146°/2 =73°

Therefore,

Smaller angle =x=73°

Bigger angle =x+34=73+34=107°