Answer:
The value of x = 6
Step-by-step explanation:
The angle subtended on same arc are equal in measure.Here <ACD and <ABD are on the same arc. therefore these two angle are equal.
it is given that, m∠ACD=2x+14 and m∠ABD=3x+8
From the figure we get,
m∠ACD = m∠ABD
Therefore we can write,
2x+14 = 3x+8
3x - 2x = 14 - 8
x = 6
Therefor the value of x = 6
