Question

8. Find the values of x, y, z in the following figures, if PQ || BC:
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Answer 1

Answer: (i) x=30° ,y=80° ,z=70°

(ii) x=60° ,y=30° ,z=90°

Step-by-step explanation:

Answer 2

Answer:

(1) pq//bc

PAB = x ( A.I.A)

x = 30

PAB + Z + CAQ

30+z+80 = 180 (L.P)

110+z = 180

z = 70

x+z+y = 180. ( Angle sum prop.)

30+70+y = 180

100+y = 180

y = 80

(2) pb//bc

x = ABC (A.I.A)

x = 60

ABC+ACB+y = 180(angle sum Prop.)

60+90+y = 180

150+y = 180

y = 30

x+y+z = 180. (L.P)

60+30+z = 180

90+z = 180

z = 90

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