Q.The measures of the angles of a triangle are in the ratio 3:7:8. Find their measures in degree and radian.

Step 1: Let the angles be $3k, 7k, 8k$. Angle sum: $3k+7k+8k=180° \Rightarrow 18k=180° \Rightarrow k=10°$.

Step 2: Angles: $3k=30°$, $7k=70°$, $8k=80°$. …

Split the triangle's 180° angle sum in the given ratio using a common multiplier k …

• Adding the ratio parts incorrectly (3+7+8=18, not 17 or 19).
• Forgetting to convert all three angles to radian, not just on …