The two interior opposite angles of an exterior angle of a triangle are of degrees 60 and 80. Find the measure of exterior angle ? Can the exterior angle of a triangle be a straight angle?

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Solution

$As we know that, Exterior angle of a triangle = sum of two opposite interior angle So, Exterior angle of a triangle = 60 + 80 = 140 degree And we know that sum of interior angle and adjacent exterior angle = 180 degree So if exterior angle = 180 degree means interior angle = 0 but this is not possible . So exterior angle cannot be 180 degree or straight angle .$

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