Angles of triangles

Question

One angle of a triangle measures 76∘ more than the smallest, while a third angle is twice the smallest. Find the measure of each angle.

Answer 1

You learned Algebra last year so that you can apply it to Geometry problems this year.

Let the three angles be x (smallest), x+76, and 2x.

These three measures of a triangle's angles must add up to exactly 180:

x + x+76 + 2x = 180. Solve this equation to obtain all values.