SOLUTION: The sum of the angles of a triangle is 180. Find teh three angles of the triangle if one angle is 4 times the smallest angle and the third angle is 24 degrees greater than the smal
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Question 156023: The sum of the angles of a triangle is 180. Find teh three angles of the triangle if one angle is 4 times the smallest angle and the third angle is 24 degrees greater than the smallest angle. Answer by orca(409) (Show Source):
You can put this solution on YOUR website! Let x be the measure of the smallest angle.
Then
The measure of the second angle is 4x.
The measure of the third angle is x + 24.
As their sum is 180°, we have
x + 4x + x + 24 = 180
Solving for x, we have
6x + 24 = 180
6x = 156
x = 26
So
The measure of the smallest angle is 26
The measure of the second angle is 4x = 4*26 = 104
The measure of the third angle is x + 24 = 50.
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