diagonals of a square UKL intersect at point M find the measure of angle IMJ , angle JIK , and angle UK
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diagonals of a square UKL intersect at point M find the measure of angle IMJ , angle JIK , and angle UK
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Answer:
1 Answer
i. IJKL is a square. [ Given]
∴ seg IK ⊥ seg JL [Diagonals of a square are perpendicular to each other]
∠ IMJ=90°
∠ JIL 90° ……. ( i) [Angle of a square]
ii. ∠JIK = (1/2) ∠JIL [Diagonals of a square bisect the opposite angles]
∠JIK = (1/2) (90°) [From (i)
∴ ∠JIK = 45°
∠IJK = 90° (ii) [Angle of a square]