Question

Diagonals of a square $IJKL$ intersects at point $M$. Find the measures of $\angle IMJ,\angle JIK$ and $\angle LJK$.

Answer 1

Diagonals of a square are perpendicular bisectors of each other.
So, $\angle IMJ={90}^o$
A square has all the 4 angles are right angles.

So, $\angle JIK=\frac{1}{2}\times {90}^o={45}^o$

Similarly, $\angle LJK=\frac{1}{2}\times {90}^o={45}^o$