contestada

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

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 class=

Respuesta :

olayemiolakunle65

Answer:

m<HJF = [tex]56^{o}[/tex]

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 = [tex]\frac{8}{4}[/tex]

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 = [tex]56^{o}[/tex]

The measure of angle HJF is [tex]56^{o}[/tex].

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