in the adjoining figure line p ll line q line l ll line m find measures of angle a b c. justify your answer.
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Answer:
<C = 80 , <B = 80 , <A = 100
Step-by-step explanation:
because :
if line L ║ line M
so,
<C = 80 (exterior alternate angles)
and if p ║ q
so,
<C = <B = 80 (corresponding angles)
and we know that parrallel line is a straight line
so,
<B + <mba = 180 (linear pair of angles)
80 +<mba = 180 ( since <B = 80)
<mba = 100
<mba = <a = 100 (interior alternate angles)
Hence,
<a = 100 , <b = 80 and <c =80
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