Question

In the given figure, PQ║RS. Determine ∠ABC and ∠BAC

Please give an explanation for your answer
Figure:

Answer 1

Answer:

∠ABC=87°

∠BAC=43°

Step-by-step explanation:

∠CAQ+130=180 degrees   _____(co-interior angles)

∠CAQ=50 degrees

87+50+∠BAC=180 degrees   _____(linear pair)

∠BAC=180-137=43 degrees

130=43+∠ABC   _____(exterior angle property)

∠ABC=130-43=87 degrees.