Question

in the given figure PQ II RS Angle PAB=70° and angle ACS = 100° Determine angle ABC, BAC and CAQ.

Answer 1

abc=30,bac=70,caq=80

Answer 2

PQ||RS (GIVEN)
PAB=70°
ACS=100°
TO DETERMINE ANGLE ABC,BAC and CAQ

1. FOR ABC
ACS=ABC=100°(CORRESPONDING ANGLES)

2.FOR BAC

ABC+BCA+CAB=180°(ANGLE SUM PROP.OF A TRIANGLE)
100°+BCA+70°=180°
170°+BCA=180°
BCA=180°-170°
BCA=10°

3.FOR CAQ

A=Q=70°(CORRESPONDING ANGLES)