finding the measure of an angle

[lor15]

Hey everybody!
ok heres the information
In the figure, line FJ is congruent to line FH and line GF is congruent to line GH
now i have an isosles triangle that is upright and i have another isosles triangle that has its base on the right leg of the the other isosles triangle.
for the first triangle the base is JH and the vertex is F for the other triangle the base is FH and the vertex is G

heres the question
If the measure of angle GHJ is 152 and the measure of angle G is 32, find the measure fo angle JFH

Thanx!

 

[Denis]

Hey everybody!
ok heres the information
In the figure, line FJ is congruent to line FH and line GF is congruent to line GH
now i have an isosles triangle that is upright and i have another isosles triangle that has its base on the right leg of the the other isosles triangle.
for the first triangle the base is JH and the vertex is F for the other triangle the base is FH and the vertex is G
heres the question
If the measure of angle GHJ is 152 and the measure of angle G is 32, find the measure fo angle JFH
Thanx!

a = equal angles of triangle FGH; since angle FGH = 32, then:
2a + 32 = 180
2a = 180 - 32
2a = 148
a = 74

b = equal angles of triangle FHJ; since angle GHJ = 152, then:
a + b = 152
74 + b = 152

I'll let you finish it.