Question

In a triangle, the largest angle is 3 less than twice the smallest angle. The middle-sized angle is 7 more than the smallest angle. Find the measures (in degrees) of the three angles in the triangle.

Answer 1

Largest Angle: 85 Degrees

Middle-Sized Angle: 51 Degrees

Smallest Angle: 44 Degrees

Knowing that all the angles in a triangle add up to a total of 180 degrees and the relation of all angles to one another: you may plug in a value for the smallest angle and use this to calculate the other angle values, add all calculated angle measures and repeat until the value is equal to 180 degrees.

Since all angle measures in this problem are dependent upon the smallest angle measure, you only have to change the value of this variable in order to solve the problem.