Answer:
x = 39
m ∠1 = 63°
m ∠2 = 117°
Explanation:
m∠1 + m∠2 = 180° since they are adjacent linear angles lying on the same straight line
Therefore x + 24 + 3x = 180
4x + 24 = 180
4x = 180-24 = 156
x = 156/4 = 39
Therefore x = 39 (a)
FOr (b) substitute this value of x = 39 into each equation
m∠1 = x + 24 = 39 + 24 = 63°
m∠2 = 3x = 3(39) = 117°