Question

True or false two supplementary angles differs by 34. Find the angle

Answer 1

Answer:

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°

$x + (x + 34) = 180° \\ 2x + 34° = 180° \\ 2x = 180° - 34° \\ 2x = 146° \\ x = \frac{146°}{2} \\ x = 73°$

Therefore smaller angle = 73°

larger angle = x + 34 = 73° + 34°

= 107°