The base of a pentagon lies on ray AB as shown.
An illustration showing a pentagon lying on ray AB, which when extended forms an exterior angle and is marked as 2x plus 14 degrees. The interior angle next to this exterior angle measures 7x plus 13 degrees.
Determine which statements are true.
A) x = 1
B) x = 2
C) The sum of the interior angles of the pentagon is 360 degrees
D) The measure of the exterior angle is 2x plus 14 degrees
A) x = 1
D) The measure of the exterior angle is 2x plus 14 degrees
the two angles are supplementary
2x+14 + 7x+13 = 180
9x = 133
x = 17