Answer:
m∠ACB = 39°
m∠BCD = 81°
m∠ACE = 60°
Step-by-step explanation:
From the picture attached,
m∠ACD = 120°
Since, m∠ACD = m∠ACB + m∠BCD
x + (2x + 3) = 120°
3x + 3 = 120
3x = 117
x = 39
Therefore, m∠ACB = 39°
m∠BCD = (2x + 3) = 2(39) + 3
= 81°
Since, m∠ACE + m∠ACB + m∠BCD = 180° [Angles formed at a point on a straight line]
m∠ACE + 39 + 81 = 180
m∠ACE = 180 - 120
m∠ACE = 60°
