SOLUTION: How do you solve: The second angle of a triangle is 3X as large as the 1st. The third angle is 20 degrees larger than the sum of the firs two. Find the measures of the angles.
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Question 155574: How do you solve: The second angle of a triangle is 3X as large as the 1st. The third angle is 20 degrees larger than the sum of the firs two. Find the measures of the angles. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The second angle of a triangle is 3X as large as the 1st. The third angle is 20 degrees larger than the sum of the first two. Find the measures of the angles.
:
Let x = 1st angle
then
3x = 2nd angle
and
(x + 3x + 20)
or
(4x+20) = 3rd angle
:
x + 3x + (4x+20) = 180
:
8x = 180 - 20
x =
x = 20 degrees (1st angle)
;
3(20) = 60 degrees (2nd angle)
:
4(20) + 20 = 100 degrees (3rd angle)
