193k views
2 votes
Please explain solution

Please explain solution-example-1
User Andrio
by
4.9k points

1 Answer

4 votes

Answer:

M<GEF=30

M<DEF=40

Explanation:

First you want to solve for x. to do that you put both of the equations together and make it equal to 70 since M<GED=70. so you would get 2x+10+5x-10=70.

when you solve that you get x=10. next you substitute x with 10 in the other equations to solve for the unknown measure angle. So M<GEF=2(10)+10 and M<DEF=5(10)-10. When you solve that you get M<GEF=30 and M<DEF=40. you can check this by adding them together and they add up to 70 which is the M<=GED.

User Dpi
by
4.1k points