Find the value of k. The diagram is not drawn to scale.

Answer: The value of k is 73.
Explanation:
In the give diagram mark the corner points as A, B and C same as figure shown below.
From the figure it is noticed that,
[tex]\angle A=62^{\circ}[/tex]
[tex]\angle B=45^{\circ}[/tex]
[tex]\angle C=k^{\circ}[/tex]
According to the angle sum property of triangle the sum of interior angles of a triangle is [tex]180^{\circ}[/tex].
By the angle sum property of triangle we can say that,
[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]
[tex]62^{\circ}+45^{\circ}+k^{\circ}=180^{\circ}[/tex]
[tex]107^{\circ}+k^{\circ}=180^{\circ}[/tex]
[tex]k^{\circ}=180^{\circ}-107^{\circ}[/tex]
[tex]k^{\circ}=73^{\circ}[/tex]
Therefore, the value of k is 73.