What is the measure (in degrees) of the smallest interior angle of a triangle in which the exterior angle measures have the ratio 4:2:8?
77 1/7
The exterior angle would measure
[ 8 ] / [ 4 + 2 + 8 ] * 360 =
[ 8 ] / [ 14 ] * 360 =
[ 4/ 7] * 360 ≈ 205.7°
Which is impossible because the sum of the exterior angle and its corresponding interior angle can never measure more than 180°