[] KLMN Is a SQUARE. Determine ANGLE NMK
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The ∠NMK will be 45°. This can be determined as follows:
- As per the question, KLMN is a square.
- Therefore, its diagonals will be KM and LN.
- Now, In right angled triangle ΔNKM
NK=NM (since sides of square)
- Therefore, by isosceles triangle property,
∠ NMK = ∠NKM
- Let, ∠NMK = ∠NKM = x
- ∴ x +90°+x = 180°
2x=90°
x=45°
- Thus ∠NMK = 45°
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Answer:
the answer should be 45
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