Question

Lines DE and AB intersect at point C.


What is the value of x?

12
25
38
52

Answer 1

∠ACE = (2x + 2)°

∠BCE = (5x + 3)°

∠ACE + ∠BCE = 180° (Linear Pair)

(2x + 2)° + (5x + 3)° = 180°

2x + 5x + 2 + 3 = 180°

7x + 5 = 180°

7x = 180° - 5

7x = 175°

x = 175/7

x = 25

Therefore, value of x = 25°

Hope it helps :)

Answer 2

Hey There! This is your solution..........

We know that sum of the angles on a line is always 180°.

Therefore,
(5x + 3)° + (2x + 2)° = 180°
Or, 5x + 3 + 2x + 2 = 180°
Or, 7x + 5 = 180°
Or, 7x = 180 - 5
Or, 7x = 175°
Or, x = 175/7
Or, x = 25°

Hence,
The correct option is 25°.








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