Mathematics
In the given figure, PAT is tangent at A. If ∠ACB = 50°, find :
(i) ∠TAB
(ii) ∠ADB
Circles
1 Like
Answer
(i) ∠TAB = ∠ACB = 50° [Angles in the alternate segment are equal]
Hence, ∠TAB = 50°.
(ii) ∠ADB + ∠ACB = 180° [Opposite angles of cyclic quadrilateral]
∠ADB = 180° - 50°
∠ADB = 130°.
Hence, ∠ADB = 130°.
Answered By
2 Likes
Related Questions
In the given figure, two circles intersect each other at the points A and B. If PQ and PR are tangents to these circles from a point P on AB produced, show that PQ = PR.
In the given figure, AB is a direct common tangent to two intersecting circles. Their common chord when produced intersects AB at P. Prove that P is the mid-point of AB.
In the given figure, PAT is tangent at A. If ∠TAB = 70° and ∠BAC = 45°, find ∠ABC.
In the given figure, PAT is tangent at A to the circle with centre O. If ∠ABC = 35°, find :
(i) ∠TAC
(ii) ∠PAB
