Question

Lines DE and AB intersect at point C.

Answer 1

Answer:

(B)25

Step-by-step explanation:

If Lines DE and AB intersect at point C; and

$\angle ACE =(2x+2)^\circ\\\angle ECB=(5x+3)^\circ$

From the attached diagram, we can see that Angles ACE and ECB are supplementary angles by the linear postulate.

Therefore:

$\angle ACE +\angle ECB=180^\circ\\(2x+2)^\circ+(5x+3)^\circ=180^\circ\\2x+5x+2+3=180\\7x+5=180\\7x=175\\ Divide both sides by 7\\x=25$

The correct answer is B.