Question

What is angle RKL?? Will you also explain how you got the answer please??

Answer 1

The measure of angle RKL is 63 degrees.

The measure of the inscribed angle RKL times 2 is equal to the arc that it forms.

Therefore, we can write and solve the following equation:

2(-2 + 23x) = 64 + 24x - 2
-4 + 46x = 62 + 24
22x = 66
x = 3

Now, input 3 into the expression for the angle and you will have 67.
-2 + 23(3)
-2 + 69
67