In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint of FG. If mZHJF 10x + 36, and mZEGJ = 6x + 44, what is the measure
of ZHJF?
F
H
J
E
G

m<HJF =

Step-by-step explanation:

From the given diagram, ΔFHJ is similar to ΔFEG. So that;

m<HJF = m<EGJ

⇒ 10x + 36 = 6x + 44

10x - 6x = -36 + 44

4x = 8

x =

x = 2

Substitute the value of x in the expression for m<HJF to have,

m<HJF = 10x + 36

           = 10(2) + 36

           = 20 + 36

m<HJF =

The measure of angle HJF is .

a = 11 : 4

b = 38

c = 1 for every 6

the correct answer is the second option