Question

If the measure of angle 2 is 92 degrees and the measure of angle 4 is (1/2x) degrees what is the value of x?

46
88
92
184

Answer 1

multiply 92 times .5 and you get 184

Answer 2

D.
`x=184^o`

Explanation:

We have been given a graph of two intersecting lines and we are asked to find the value of x.

Given:

`m\angle 2=92^o`

`m\angle 4=(1)/(2)x`

We can see that angle 2 and angle 4 are vertical angles. Since vertical angles are equal, so to find the value of x we will equate the measure of angle 2 with the measure of angle 4.

`(1)/(2)x=92^o`

Let us multiply both side of our equation by 2.

`(1)/(2)x*2=92^o*2`

`x=184^o`

Therefore, the value of x is 184 degrees and option D is the correct choice.