Answer:
a = 97° , b = c = 146°
Step-by-step explanation:
a and 83° are same- side interior angles and sum to 180°
a + 83° = 180° ( subtract 83° from both sides )
a = 97°
34° and b are same- side interior angles and sum to 180°
b + 34° = 180° ( subtract 34° from both sides )
b = 146°
b and c are corresponding angles and are congruent , so
c = b = 146°
Answer:
< a = 97 degrees.
< b = 146 degrees.
< c = 146 degrees.
Step-by-step 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.
