Mathematics
Answer
From figure,
ABP is a straight line.
∴ ∠PBC + ∠ABC = 180°
⇒ 105° + ∠ABC = 180°
⇒ ∠ABC = 180° - 105° = 75°.
ACQ is a straight line.
∴ ∠ACB + ∠BCQ = 180°
⇒ 125° + ∠ACB = 180°
⇒ ∠ACB = 180° - 125° = 55°.
Since, ∠ABC > ∠ACB
∴ AC > AB (If two angles of a triangle are unequal, the greater angle has the greater side opposite to it.)
Hence, Option 2 is the correct option.



