Question

Solve for the value of e.

(pls help me)

Answer 1

e = 10

Explanation:

According to the Vertical Angle Theorem, when two straight lines intersect, the opposite vertical angles are congruent.

Since the two given angles are vertical angles, they are congruent.

Therefore, we can set them equal to each other:

`\implies (9e - 8)^(\circ) = (8e + 2)^(\circ)`

`\implies 9e - 8= 8e + 2`

To solve for e, begin by subtracting 8e from both sides of the equation:

`\implies 9e - 8-8e= 8e + 2-8e`

`\implies e - 8= 2`

Add 8 to both sides of the equation:

`\implies e - 8+8= 2+8`

`\implies e=10`

Therefore, the value of e is 10.

Answer 2

e = 10

Explanation:

Vertically opposite angles are the angles formed opposite to each other when two lines intersect.

Vertically opposite angles are equal.

9e - 8 = 8e + 2

Add 8 to both sides,

9e = 8e + 2 + 8

9e = 8e + 10

Subtract '8e' from both sides,

9e - 8e = 10

`\boxed{\bf e = 10}`