Question

Identifying Exterior Angles of Triangles
Which represents an exterior angle of triangle XYZ?

Answer 1

There are three exterior angles.
-angle KXH
-angle NYK
-angle HZN

Answer 2

Answer: According to the given figure

Exterior angles of triangle XYZ with respect to ∠X are ∠YXH and ∠ZXJ.

Exterior angles of triangle XYZ with respect to ∠Y are ∠XYO and ∠ZYK .

Exterior angles of triangle XYZ with respect to ∠Z are ∠XZN and ∠YZG.

Explanation:

An exterior angle of any triangle is appeared when any side is extended outwards such that

• the sum of the exterior angle and the angle of triangle is 180° i.e. they make linear pair .

• An exterior angle of a triangle is equal to the sum of the opposite angles.

• The sum of the exterior angles of any regular polygon is always 360°.