In the following figure what is #/_GDH#, interior or exterior angle?

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1 Answer
Jul 4, 2017

Neither

Explanation:

Interior angle of a polygon is the angle formed by two adjacent sides. For example in the figure given above, #/_A# or #/_BAD#; #/_B# or #/_ABC#; #/_BCD# and #/_ADC# all are interior angles.

Exterior angle of a polygon is the angle formed by one side of the polygon and extended adjacent side. For example, #CD# is exended to #H# to form #/_ADH#, which is formed by this side with side #AD#. Similarly, #/_BCE# is formed by side#BC# and #DC# extended to #E#. Hence #/_ADH# and #/_BCE# are exterior angles.

Although #/_GDH# is equal to interior angle #/_ADC#, it is neither an interior angle nor an exterior angle of the polygon #ABCD#.