Question

Two circles C, and C, touch each
other internally at P. Two lines
PCA and PDB meet the circles C,
in C, D and C, in A, B respec-
tively. If angle BDC = 120°, then the
value of angle ABP is equal to
(1) 60° (2) 80°
(3) 100° (4) 120°​

Answer 1

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Answer 2

Correct Answer:

A) 60°

Step-by-step explanation:

Given :

∠BDC=120∘ ∠ABP=?

∴∠CDP=180∘−∠BDC

∠CDP−180∘−120∘

∠CDP=60∘

CD||AB

∴∠CDP=∠ABP=60∘