Explanation:
Since angle RDH and JDF are vertical (opposite) angles, they will have the same measure.
First, we set the two equations equal to each other.
6x+25=10x-3
Now, we need to balance the equation so one side is just x and the other is integers.
Subtract 6x from both sides and add 3 to both sides.
28=4x
Divide both sides by 4 to get what x equals.
28/4= 7
x=7
We aren't done yet. Now, plug x into either equation. I'm doing 10x-3 since it is easier.
(10×7)-3
70-3= 67
We still aren't done. Now, since angle JDF and FDR are supplementary, they will equal 180 if you add them together. To find what FDR is, we must subtract 67 from 180.
180-67= 113
This answer makes sense because 113 would make the angle obtuse.