Question 538523
Assume that:

1st Angle = A
2nd Angle = B
3rd Angle = C

The information provided is:


The second angle of a triangular garden is four times as large as the first.

So, B = 4A

The third angle is 45° less than the sum of the other two angles.

So, C = A+B - 45

There is a formula for triangles:

A+B+C = 180




Now, we replace the previous two formulas (B=4A) and C=A+B-45 into A+B+C = 180.

Then,

A+B+C=180
A+(4A)+(A+B-45)=180

A+(4A)+A+4A-45=180
5A+5A =180 + 45
10A = 225

A= 225/10

A = 22.5

B = 4A
B=4*(22.5)
B= 90

C= A+B-45
C= 22.5 + 90 -45
C= 67.5


So the answer of "Find the measure of each angle" is:

A = 22.5°
B= 90°
C= 67.5°