Question

diagonal of square Ijkl interest at point M find measure of angle M,I and J

Answer 1

Here is your answer buddy ....

Answer 2

Each angles equals 45°

Step-by-step explanation:

The Properties in any square (all equal sides) state-  

a.) Angle formed at the vertices of square are 90 each ($90 \times 4 = 360$)

b.) Diagonals of Square are Bisectors  

c.) Diagonals of square are perpendicular bisectors

d.) Diagonals of Square bisect opposite angles

In the question,

Square IJKL is having both diagonals intersection at M

As stated above, Properties (a), (b), (c) & (d) for diagonals of square,

∠IMJ, ∠JIK and ∠LJK = $\frac {1}{2} \times90$

= 45° each