SOLUTION: The sum of the angles of a triangle is 180°. Find the three angles of the triangle if one angle is four times the smallest angle and the third angle is 24° greater than the smalles
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Question 212865: The sum of the angles of a triangle is 180°. Find the three angles of the triangle if one angle is four times the smallest angle and the third angle is 24° greater than the smallest angle. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The sum of the angles of a triangle is 180°.
Find the three angles of the triangle if one angle is four times the smallest
angle and the third angle is 24° greater than the smallest angle.
;
Let x = the smallest angle
then
4x = the largest angle
and
(x+24) = the third angle
:
x + 4x + (x+24) = 180
6x = 180 - 24
6x = 156
x =
x = 26 deg is the smallest angle
and
4(26) = 104 deg is the largest
and
26 + 24 = 50 deg is the third angle
;
;
Check solution:
26 + 104 + 50 = 180
