Which statement about the exterior angles of a triangle is FALSE?

Class 9Exterior Angle of a TriangleGeometry — Lines and Angles

AAn exterior angle can be obtuse
BAn exterior angle and its adjacent interior angle add to 180°
CThe three exterior angles (one per vertex) add to 360°
DAn exterior angle can equal one of its interior opposite angles

Step-by-Step Solution

An exterior angle equals the SUM of two positive interior opposite angles, so it is always strictly greater than each one. The other three statements are true.

Answer: D) An exterior angle can equal one of its interior opposite angles

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