Find the measures of the three angles.

Question

The angles in a triangle are such that one angle is 30 degrees more than the smallest angle, while the third angle is 4 times as large as the smallest angle. Find the measures of all three angles.

Answer 1

x is the smallest

 

x + x+30 + 4x = 180

 

6x + 30 = 180

 

6x = 150

 

x = 25

 

25, 55, 100