Answer:
Step-by-step explanation:
To find the measure of angle CMK, we need to consider the properties of a square and the information given in the question.
Properties of a Square:
A square is a quadrilateral with all sides equal and all angles right angles .
The diagonals of a square are congruent and bisect each other at right angles .
Given Information:
In the square CINQ, the diagonals intersect at point M.
Point K is on side CI such that CK is congruent to CM.
Based on these properties and information, we can conclude that angle CMK is a right angle. This is because the diagonals of a square bisect each other at right angles .
Therefore, the measure of angle CMK is 90 degrees.
