#### Answer

The measure of each angle is 65°, 65°, 115°, and 115°.

#### Work Step by Step

Opposite angles of a parallelogram have the same measure and the sum of the four angles is 360°. Let the non-equal angles be x and y.
Hence, $2x+2y=360$
$2(x+y)=360$
$x+y=180$
The problem tells us that one
angle of the parallelogram is 15° less than twice the
measure of the angle next to it:
$x=2y-15$
Substitute into $x+y=180$
$2y-15+y=180$
$3y=195$
$y=65°$
$x+65=180$
$x=115°$
So, the measure of each angle is 65°, 65°, 115°, and 115°.
Check: $65+65+115+115=360$
And $2*65-15=115$