m(arc AB) = ∠APB = 100°
Analysis: seg PA ⊥ line l seg PB ⊥line m … [Tangent is perpendicular to radius]
Rough Figure
The perpendicular to sez PA and seg PB at points A and B respectively will give the required tangents at A and B.
Steps of construction:
i. With centre P, draw a circle of any radius and take any point A on it.
ii. Draw ray PA.
iii. Draw ray PB such that ∠APB = 100°.
iv. Draw line l ⊥ray PA at point A.
v. Draw line m ⊥ ray PB at point B. Lines l and m are tangents at points A and B to the circle.
