Question

Can anybody help me on this

Answer 1

angle 3 and angle 4 are congruent

3x-16=x+84

2x-16=84

2x=100

x=50

your answer is d

Answer 2

The correct choice is 50.

Step-by-step explanation

It was given that,

`m \angle3 = 3x - 16`

and

`m \angle4 = x + 84`

The two given angles are vertically opposite to each other.

Recall that, vertically opposite angles are equal.

This implies that:

`3x - 16 = x + 84`

Group similar terms,

`3x - x = 84 + 16`

`2x = 100`

Divide both sides by 2

`x = 50`