Answer:
2) x=6 3) x=4 m<EFH=21 m<EFG=83
Step-by-step explanation:
2) Basically they're giving you two parts of a whole angle. The entire angle is 127 degrees, split into two parts. one part being 83 degrees and the other is (9x-10). the way you solve for X is by making it into an equation. Angle JKM + angle MKL = angle JKL. So substitute the values they gave you into the one we just made.
(9x-10) + 83 = 127 then solve for x.
9x-10+83=127
9x+73=127
9x=54
x=6
3) this question is the same thing but now theres a variable on both sides of the equation. angle EFH +angle HFG = angle EGF. substitute then solve for x
(5x+1) + 62 = 18x+11
5x+63=18x+11 move the x variables to one side
52=13x
x=4
for the rest of the angles just plug in the x value to the equations for the smaller angles
m<EGF:
18x+11
18(4)+11= 83
m<EFH
5x+1
5(4)+1= 21
