Answer:
D. x= 28, 2=23; Use corresponding and supplementary angles.
Explanation:
The degrees of (5y-4)° and 3y° both (added together) sum up to 180 degrees.
So the equation would be: (5y-4)+3y= 180.
Step 1- Add common variables.
(5y+3y)-4= 180
8y-4= 180
Step 2- Add 4 to both sides.
8y-4= 180
+4 +4
8y= 184
Step 3- Divide both sides by 8.
8y= 184
8 8
y= 23
Now that we know what the variable y equals to, we can now solve for x. The equation would be: 3y=(2x+13).
Step 1- Substitute the known variable.
3(23)=2x+13
69= 2x+13
Step 2- Subtract 13 to both sides.
69= 2x+13
-13 -13
56= 2x
Step 3- Divide both sides by 2.
56= 2x
2 2
x= 28
Hope this helps! :)