(1) Answer: angles are 47, 51, 54 (for placement see description below)
Start with the bottom-right triangle. Use the fact that angles must add up to 180 degrees to determine the missing angle:
180=105+28+<x
<x = 47 degrees
Nest, the opposite crossing angle (marked with "?" is equal to x due to "opposite angles equality", let's call that <y=67 degrees
Next, we are in the top triangle where, again,
180 = 82 + <y + <z
180 = 82 + 47 + <z
<z = 51 degrees (this is the very top angle marked with "?")
Finally we are looking for the bottom-left angle marked with "?", let's call it <w.
There are multiple ways of determining <w, we will use the supplementary angle to the angle 105, which is 180-105=75 degrees, and the fact that we have a triangle with
180 = 75 + 51 + <w
<w = 54 degrees
So the missing angles are 47, 51, 54 (see placement above)
(2) Answer: 53 degrees (choice (C))
Steps:
Determine angle A as (combined measurement - 90 degrees) because E+K=90 degrees.
A = 127-90=37 degrees
then use
180 = A + B + C = 37 + B + 90
B = 53 degrees
