Geometrymedium · Past Paper
Two tangents PA and PB are drawn to a circle with center O from an external point P. If angle APB = 80 degrees, find angle POA.
A40 degrees
B50 degrees
C80 degrees
D100 degrees
✓ Correct Answer: B — 50 degrees
Angle OAP = 90. Angle APO = 40 (half of 80). In triangle OAP, angle POA = 180 - 90 - 40 = 50 degrees.
Share this question
More from Geometry
- Find the area of a triangle with base 15 cm and altitude 10 cm.
- Two circles touch internally. The sum of their areas is 170*pi and the distance between their centers is 4. Find the radius of the larger circle.
- The length of the common chord of two intersecting circles is 24 cm. If their radii are 13 cm and 15 cm, find the distance between their centers.
- In the given figure, if L1 || L2 and the transversal makes an angle of 70 degrees, what is the value of its alternate interior angle?
- Find the equation of a line passing through (2, 3) and (2, 7).