Question

In the circle m∠ACD=2x+14 and m∠ABD=3x+8
what is the value of x

Answer 1

The value of x = 6

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