Geometrymedium · Past Paper
In a cyclic quadrilateral, if the ratio of two opposite angles is 4:5, find the larger angle.
A80 degrees
B100 degrees
C120 degrees
D140 degrees
✓ Correct Answer: B — 100 degrees
4x + 5x = 180 => 9x = 180 => x = 20. Larger angle = 5 * 20 = 100 degrees.
Share this question
More from Geometry
- 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 area of the largest triangle that can be inscribed in a semi-circle of radius r.
- In a triangle, the distance from a vertex to the orthocenter is 2R cos A. This relates to which center?
- Two supplementary angles are in the ratio 2:3. Find the smaller angle.
- If the angle between two radii of a circle is 130 degrees, the angle between the tangents at the ends of the radii is: