Answer:
t = 2
Step-by-step explanation:
Rhombus:
ΔGFI is isosceles triangle. GF = FI.
∠FGJ = ∠FIJ
∠FGJ = 27°
In ΔGFJ,
In Rhombus diagonals bisect each other at 90°.
∠GJF = 90°
27° + 90°+ ∠GFJ = 180 {Angle sum property of triangle}
117 + 2t +59 = 180
2t + 176 = 180
2t = 180 - 176
2t = 4
t = 4 ÷ 2
[tex]\sf \boxed{\bf t = 2}[/tex]
