Question

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

Answer 1

The angles of a triangle must all equal 180, so 62+45=107. Then you take 107 from 180 which is 180-107=73 So k= 73

Answer 2

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.