Question

If the angles of a triangle are in the same ratio as the numbers $4$, $5$ and $6$, then the largest angle measures

• A. ${60}^0$
• B. ${70}^0$
• C. ${72}^0$
• D. ${80}^0$
• E. ${90}^0$

Answer 1

Answer: (C)

${72}^0$

Ratio of the angles = 4:5:6

$4a+5a+6a=180°⟹15a=180°\therefore a=12°$

$\therefore$ The angles are = 48°, 60°, 72°

Largest angle measure = 72°