Question

two supplementary angles differby 34.

Answer 1

Step-by-step explanation:

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 is 180°

We have x+(x+34)=180°

2x+34=180°

2x=180−34=146°

$x = \frac{146}{2} = 73$

Therefore smaller angle =x=73°

Bigger angle =x+34=73+34=107°