Geometry, working out a

Question

If i have a triangle with one interior angle saying “2a°” and one saying “3a°” with the third interior angle not having any clue. Considering its multiple choice between 36,22.5,25.7 +45 what does a represent?

Answer 1

Hi Kyla!

The three interior angles of a triangle add up to 180^o.

Since 3a+2a=5a, we can deduce that 5a is less than 180, since only two angles of a triangle cannot add up to all 180 degrees. Because 5*36=180 and 5*45 is greater than 180, we can rule out those two answers. However, I am not sure there is enough information provided to choose between the other two.