Question

Lines DE and AB intersect at point What is the value of x?C.

O 12
25
А.
|(2x + 2)E
38
С
(5x + 3)
52
D
B
I’m sorry if doesn’t make sense but there’s the picture!!

Answer 1

x = 25

I did the same quiz and got it right thanks to the person on top that explained it really well..thank you

Answer 2

Given:

Lines DE and AB intersect at point C.

`m\angle ACE=(2x+2)^\circ`

`m\angle ECB=(5x+3)^\circ`

To find:

The value of x.

Solution:

In the given figure it is clear that the angles
`\angle ACE` and
`\angle ECB` are lie on a straight line AB.

`m\angle ACE+m\angle ECB=` [Linear pair]

`(2x+2)^\circ+(5x+3)^\circ=180^\circ`

`(7x+5)^\circ=180^\circ`

`7x+5=180`

Subtract 5 from both sides.

`7x=180-5`

`7x=175`

Divide both sides by 7.

`x=(175)/(7)`

`x=25`

Therefore, the correct option is B.