To be able to fine one of the bases we must first find the vertex and to do that we have to find the value of a.
A triangle measures 180 degrees.
Therefore we must form an equation that is equal to 180 degrees.
(a + 30) + 2(2a - 15) = 180
We put 2 in front of (2a - 15) because there are two base angles.
Solution:
(a + 30) + 2(2a - 15) = 180
a + 30 + 4a - 30 = 180
a + 4a + 30 - 30 = 180
5a = 180
5a/5 = 190/5
a = 36 degrees
Therefore the base = 2(36) - 15 = 57 deg