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Question

(1) Name all the exterior angles of the triangle given below.

(2) Write the names of angles that are neither angles of the triangle nor its exterior angles

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Solution

(1) Exterior angles are those angles which form a linear pair with the angles of a triangle.
∠AXY forms a linear pair with ∠YXZ. So, ∠AXY is an exterior angle.
Similarly, ∠BXZ, ∠XZC, ∠YZD, ∠ZYF, ∠XYE are also exterior angles.
Thus, ∠AXY, ∠BXZ, ∠XZC, ∠YZD, ∠ZYF, ∠XYE are exterior angles of the triangle.

(2) ∠AXB, ∠EYF and ∠CZD are neither angles nor exterior angles of the triangle.

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