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,
\(\angle A=62^{\circ}\)
\(\angle B=45^{\circ}\)
\(\angle C=k^{\circ}\)
According to the angle sum property of triangle the sum of interior angles of a triangle is \(180^{\circ}\).
By the angle sum property of triangle we can say that,
\(\angle A+\angle B+\angle C=180^{\circ}\)
\(62^{\circ}+45^{\circ}+k^{\circ}=180^{\circ}\)
\(107^{\circ}+k^{\circ}=180^{\circ}\)
\(k^{\circ}=180^{\circ}-107^{\circ}\)
\(k^{\circ}=73^{\circ}\)
Therefore, the value of k is 73.
