Question

the second angle of a triangle garden is four times as large as th first. the third angle is 45 less than the sum of the other two angles how do i put this in a equation

Answer 1

Let X = First angle
4X= The second angle. Given
4X+X-45=The third angle. Given

What we know: The sum of the angles in a triangle =180 degrees.
X+4X+4X+X-45=180 degrees
simplifying: 10X-45=180 degrees
adding 45 to both sides result in:10X=225
dividing both sides by 10 result in x=22.5 degrees (first angle)
4x=90 degrees second angle
4x+x-45=67.5 degrees, the third angle