SOLUTION: One angle of a triangle is four times as large as another and 45 degrees more than the third angle. Find the angle.
Algebra ->
Triangles
-> SOLUTION: One angle of a triangle is four times as large as another and 45 degrees more than the third angle. Find the angle.
Log On
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