Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact, and ∠PAB = 40° . The measure of ∠ABP is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3.i.e. 50°.
According to the concept, ∠APB = 90°
Considering ΔAPB,
∠ABP
⇒ 90° - ∠PAB
⇒ 90° - 40° = 50°
∴ The measure of ∠ABP is 50°.