Answer:
< a = 97 degrees.
< b = 146 degrees.
< c = 146 degrees.
Explanation:
We have 2 lines crossing 2 parallel lines.
Internal angles between the 2 parallel lines add up to 180 degrees, so
34 + <b = 180
<b = 180 - 34 = 146 degrees
Also
<a + 83 = 180 degrees (also internal angles)
---> <a = 97 degrees
< c and < b are corresponding angles so are congruent, therefore
<c = < b = 146 degrees.