Question

What is the value of X.

Answer 1

Answer: x=7


Explanation: These are vertical angles, so they are congruent

x+16=4x-5

-x -x

16=3x-5



+5 +5


21=3x



21/3 3x/3


x=7




7+16=23
4*7=28-5=23

Answer 2

x=5.25 or x=5 1/4

Explanation:

These two angles are the same because they are vertical angles. We can write an equation to express this.

x+16=4x-5

Then solve.

x+16=4x-5

-x -x

16=4x-5

+5 +5

4x=21

x=5.25 or 5 1/4