Question

what is the value of k?

Explanation:

Step1: Assume it's a right - angled situation

If the two angles shown are complementary (form a right - angle which is 90°), we can find k.
Let the sum of the two angles equal 90°. So, 59°+k = 90°.

Step2: Solve for k

k=90° - 59°.
k = 31°

Answer:

31