Question

diagonals of a square UKL intersect at point M find the measure of angle IMJ , angle JIK , and angle UK ​

Answer 1

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]