Answer:
Option B is correct that is value of x is 5.
Explanation:
Given: ∠ACE = ( 2x + 2 )° and ∠BCE = ( 5x + 3 )°
To find: Value of x.
Given Angles are pair of linear angles means they together form a straight line.
Thus, ∠ACE + ∠BCE = 180°
( 2x + 2 ) + ( 5x + 3 ) = 180
2x + 2 + 5x + 3 = 180
7x + 5 = 180
7x = 180 - 5
7x = 175
x = 25
Therefore, Option B is correct that is value of x is 5.