Problema Solution

Find the angles of a triangle if one angle exceeds a second angle by 45 degrees and is three times as large as the third angle.

Answer provided by our tutors

Let first angle be x.

Given that second angle is 45 less than first. So it will be x-45

First one is three times as large as third

So third angle will be x/3

 

Sum of all angles of a triangle is 180

x+x-45+x/3 =180

2x+x/3=225

7x=675

x =96.42

 

First angle is 96.42

Second angle is 96.42-45=51.43

Third angle is 96.42/3=32.14