Problema Solution

The second angle of a triangular garden is four times as large as the first. The third angle is 45 degrees less than the sum of the other two angles. Find the measure of each angle.

Answer provided by our tutors

a = first angle

b = second

c = third

b = 4a

a + b + c = 180

a+b -45 = c

a+b-c = 45

 

5a + c =180

5a -c = 45

10 a = 225

a = 22.5

b = 90

c= 67.5