Mathematics: 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 is Option C if u want the explanation do let me know...

Lines DE and AB intersect at point What is the

angellinelittle

04.07.2021

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.

$x=\dfrac{175}{7}$

x=25

Therefore, the correct option is B.

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