Question

Lines DE and AB intersect at point C.

Lines D E and A B intersect at point C. Angle A C E is (2 x + 2) degrees. Angle E C B is (5 x + 3) degrees.
What is the value of x?

12
25
38
52

Answer 1

B. 25

Step-by-step explanation: This is the correct answer on Edge 2021, just took the quiz. Hope this helps ^-^.

Answer 2

(B)25

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.