Question

Mark (✓) against the correct answer
The angles of a triangle are in the ratio 2 : 3 : 7. The measure of the largest angle is

(a) 84°
(b) 98°
(c) 105°
(d) 91°

Answer 1

$$\begin{gathered} \left(c\right)105° \\ \mathrm{Suppose}\mathrm{the}\mathrm{angles}\mathrm{of}\mathrm{a}\mathrm{triangle}\mathrm{are}2x,3x\mathrm{and}7x. \\ \begin{array}{l}\text{Sum of the angles of a triangle is 180°.}\\ \text{2}x+3x+7x=180\\ =>12x=180\\ =>x={15}^0\\ \text{Measure of the largest angle =}{15}^0\times 7={105}^0\\ \\ \end{array} \end{gathered}$$