Question

In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint

Answer 1

Answer:

m<HJF = $56^{o}$

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 = $\frac{8}{4}$

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 = $56^{o}$

The measure of angle HJF is $56^{o}$.