SOLUTION: two angles of a triangle have the same measure and the third angle is 30 degrees greater than the measure of the other two. find the measure of each angle

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Question 222313: two angles of a triangle have the same measure and the third angle is 30 degrees greater than the measure of the other two. find the measure of each angle
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
All the angles of a triangle add up to 180 degrees.
Since two of the angles are the same, we can write:
2A%2BB=180
Where 2A accounts for the two angles that are the same.
We are given the relation:
B=A%2B30
We can plug this into our first equation:
2A%2BA%2B30=180
Combine like terms and move the 30 to the other side:
3A=150
Divide both sides by 3:
A=50
We can solve for B by plugging A back into our relation:
B=50%2B30
B=80
To check: 80%2B50%2B50=180, so we are correct.