Multiple choice

Two circles touches each other externally at P. AB is direct comon tangent. Whose touch points are A and B if ∠PAB = 350, then ∠ABP is- दो वृत्त एक दूसरे को वाह्यतः P पर स्पर्श करते हैं। उन दोनों वृत्तों पर AB एक उभयनिष्ठ अनुस्पर्श रेखा है। जिसके स्पर्श बिन्दु A तथा B है। तद्नुसार यदि ∠PAB = 350 हो, तो ∠ABP का मान कितना होगा?

  1. 350

  2. 550

  3. 650

  4. 750

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given two circles touching externally at P, AB is direct common tangent. PA is tangent to circle A at A, so ∠PAB = 90° (tangent ⊥ radius). In triangle PAB: ∠PAB + ∠ABP + ∠BPA = 180°. If ∠PAB = 35° (likely 35°, not 350° which exceeds 180°), and since PB is also tangent, ∠PBA = 90°. However, with given ∠PAB = 35°, using angle sum: ∠ABP = 180° - 90° - 35° = 55°.