Question

The angles of a triangle are in the ratio $3:7:8$ Find the measure of each of the angles.

Answer 1

Step 1: Sum of the terms of the ratio

The ratio of the angles of the triangle $=3:7:8$

Sum of the terms of the ratio $=$ $3+7+8=18$

Step 2: Find the values of each angle of the triangle

Sum of three angles of a triangle is ${180}^0$.

Value of first angle = $\frac{3}{18}\times {180}^0=3\times {10}^0={30}^0$

Value of second angle= $\frac{7}{18}\times {180}^0=7\times {10}^0={70}^0$

Value of third angle = $\frac{8}{18}\times {180}^0=8\times {10}^0={80}^0$

Hence, the values of three angles of the triangle are ${30}^0,{70}^0,{80}^0$.