Answer:
(B)25
Step-by-step explanation:
From the given diagram:
[tex]\angle ACE$ and \angle ECB[/tex] are on a straight line, and we know by the Linear Postulate that the sum of angles on a straight line is 180 degrees.
Therefore:
[tex]\angle ACE$ + \angle ECB=180^\circ$ (Linear Postulate)\\(2x+2)^\circ+(5x+3)^\circ=180^\circ\\$Collect like terms\\2x+5x+2+3=180\\7x+5=180\\$Subtract 5 from both sides\\7x+5-5=180-5\\7x=175\\$Divide both sides by 7\\7x\div 7=175\div 7\\x=25^\circ[/tex]
The correct option is B.
