Question

in the figure FGHI is a square and FGI is equilateral triangle. find FJG.

Answer 1

in triangle FJI
F = 60 ° (equilateral triangle)
also, in Square FGHI , angle F = 90° (square)
so, in triangle GFJ
, angle F = 90 + 60 = 150°
Let , angle G and J = a

We know that,
G + F + J = 180
a + 150 +a = 180
2 a + 150 = 180
2 a = 180 - 150
2 a = 30
and, a = 15°

so both angles G and J are 15° each

so, Angle FGJ = 15°

Answer 2

Answer:

We know that,

G + F + J = 180

a + 150 +a = 180

2 a + 150 = 180

2 a = 180 - 150

2 a = 30

and, a = 15°

so both angles G and J are 15° each

so, Angle FGJ = 15°

Step-by-step explanation: