Question

The measures of the angles of a triangle are in the ratio 2:3:4. In degrees, the measure of the largest angle of the triangle is

Answer 1

Since the three angles of a triangle add to give 180°

The the size of the largest angle 4 = 180° × $\frac{4}{2+3+4}$
                                                       =  180° × $\frac{4}{9}$

∴ the size of the largest angle = 80°