SOLUTION: Tanya has a triangular garden bed in her back yard. The measure of the second angle is 60 degrees more than the measure of the first angle. The measure of the third angle is 20 deg
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Question 1054081: Tanya has a triangular garden bed in her back yard. The measure of the second angle is 60 degrees more than the measure of the first angle. The measure of the third angle is 20 degrees less than three times the measure of the first angle. Find the measures of the three angles. Start your work by defining the unknown quantities in terms of a variable.
You can put this solution on YOUR website! x+60 second angle: 1st angle + 60
3x-20 3rd angle: 20 less than 3 times first angle
:
Theorem: The sum of the three angles in a triangle is always 180º
Thus:
x+x+60+3x-20 = 180
5x+40 = 180
5x = 140
x = 28
:
Angle 1: 28
Angle 2: 28+60 = 88
Angle 3: 3(28)-20 = 64
Triangle: 28+88+64 = 180 Correct
:
John
