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If bar (PQ) is parallel to bar (RS), prove that b + c = 180 ° + a

If bar (PQ) is parallel to bar (RS), prove that b + c = 180 ° + a-example-1
User Tlovely
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1 Answer

7 votes

Since they are parallel we can express the diagram as:

From the new diagram we can see:


a=b+c-180

Solving for b + c:


a+180=b+c

If bar (PQ) is parallel to bar (RS), prove that b + c = 180 ° + a-example-1
If bar (PQ) is parallel to bar (RS), prove that b + c = 180 ° + a-example-2
If bar (PQ) is parallel to bar (RS), prove that b + c = 180 ° + a-example-3
If bar (PQ) is parallel to bar (RS), prove that b + c = 180 ° + a-example-4
User Dolcalmi
by
4.5k points