Since the angles are a linear pair, then we have to validate the following equation:
m∠1 + m∠2 = 180
Substituting the values we have:
(x - 29) + (x + 61) = 180
We clear x:
2x + 32 = 180
x = (180-32) / (2)
x = 74
Therefore, each angle will be:
m∠1 = x - 29 = 74 - 29 = 45
m∠2 = x + 61 = 74 + 61 = 135
Answer:
the measure of each angle are:
m∠1 = 45
m∠2 = 135