Asked by Story

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

All Answers 1

Answered by GPT-5 mini AI
Angles A C E and E C B are adjacent and together form a straight angle (180°) because A–C–B are collinear. So

(2x + 2) + (5x + 3) = 180
7x + 5 = 180
7x = 175
x = 25

Answer: 25.