Geometry Practice Test 4

Question : 12 of 40

Marks: +1, -0

O is the centre and arc ABC subtends an angle of 130° at O. AB is extended to P, then ∠PBC is:

Solution:

∠AOC reflex of ∠AOC
∠AOC = 360° - 130°
∠AOC = 230°
∠ABC =

1/2

∠AOC
=

1/2

× 230 = 115°

∠ABC+∠PBC = 180° (linear pair)
∠PBC = 180° −115°
= 65°

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