Question

in the figure FGHI is a square and FJI is a equilateral. Find FJG

Answer 1

ΔFJI is an equilateral Δ:

⇒ All angles are 60º

⇒ ∠IFJ = 60º

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ΔFJI is an equilateral Δ:

⇒ All sides are equal

⇒ FI = FJ = JI

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Since FI is also the side of the square:

⇒ FJ = FG

⇒ ΔGFJ is an isosceles Δ

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Find ∠GFJ:

∠GFJ = ∠GFI+ ∠IFJ

∠GFJ = 90º + 60º = 150º

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Find ∠FJI:

∠FJI = (180 - 150) ÷ 2

∠FJI = 15º

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Answer: ∠FJI = 15º

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Answer 2

Hey mate here's your answer ☺☺

Your answer is in the attachment
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Hope it helps you ✌✌

Thank you ☺❤