SOLUTION: One angle of a triangle is twice as large as another. The measure of the third angle is 84 degrees more than that of the smallest angle. Find the measure of each angle.
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Question 1183863: One angle of a triangle is twice as large as another. The measure of the third angle is 84 degrees more than that of the smallest angle. Find the measure of each angle. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! One angle of a triangle ABC is twice as large as another.
A = 2B
The measure of the third angle is 84 degrees more than that of the smallest angle.
C = B + 84
:
Find the measure of each angle.
A + B + C = 180
Replace A with 2B and replace C with (B+84)
2B + B + (B+84) = 180
4B = 180 - 84
4B = 96
B = 96/4
B = 24
Then
A = 2(24) = 48 deg
C = 24 + 84 = 108 deg
:
:
Check: 48 + 24 + 108 = 180
