SOLUTION: find the measure of the third angle of a triangle, given the measure of two angles 64 and 24

Algebra ->  Angles -> SOLUTION: find the measure of the third angle of a triangle, given the measure of two angles 64 and 24      Log On


   



Question 909327: find the measure of the third angle of a triangle, given the measure of two angles 64 and 24
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given the measure of two angles:
alpha=64 and beta=24
the third angle of a triangle is gamma

as you know, the sum of all three angles is 180
so, alpha++%2Bbeta+%2B+gamma=180
64+%2B+24%2B+gamma=180
88+%2B+gamma=180
gamma=180-88
gamma=92