SOLUTION: One angle of a triangle is four times as large as another and 45 degrees more than the third angle. Find the angle.

Question 159786: One angle of a triangle is four times as large as another and 45 degrees more than the third angle. Find the angle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One angle of a triangle is four times as large as another and 45 degrees more than the third angle. Find the angle.
;
Let x = "another angle"
:
"One angle of a triangle is four times as large as another"
4x = "one angle"
:
"45 degrees more than the third angle."
4x - 45 = third angle
:
Find the angle.
:
x + 4x + (4x - 45) = 180
5x = 180 + 45
5x = 135
x =
x = 27 degrees is another angle
then
4(27) = 108 degrees; one angle
and
108 - 45 = 63 degrees; a third angle
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