Answer
The angles are 37.5°, 37.5°, and 105°.
Work Step by Step
An isosceles triangle has two angles with the same measure.
The measure of the third angle is 30$^{o}$ more than twice the measure of either of the other two.
Let us call the third angle x and the two other angles y.
$x=2y+30$
We also know that the sum of the angles of a triangle is 180$^{o}$.
$x+2y=180$
$(2y+30) +2y=180$
$4y+30=180$
$4y=150$
$y=37.5$
Using the first equation, we can find out the other angle:
$x=2(37.5)+30$
$x=105$
