What kind of special angle pairs do you see on the diagram?
x=8 and y=46
Practice makes perfect
Let's take a look at the given diagram.
We can see that the angles whose measures are 5x+6 and 17x-2 form a linear pair. Therefore, the sum of these measures equals 180.
( 5x+6)+( 17x-2)=180
Let's find the value of x by solving this equation.
The value of x is 8. Now, notice that the angles whose measures are 5x+6 and y are vertical angles. Therefore, they are congruent.
5x+6= y
Let's find the value of y by substituting x= 8 and solving this equation for y.
