Question

If the angles of an isosceles triangle are in the ratio of 5 : 2 : 2, then find the values of these angles.

• A. , ,
• B. , ,
• C. , ,
• D. , ,

Answer 1

The correct option is A

, ,

Since the ratio of angles of the triangle is given as 5 : 2 : 2, we can assume the value of these angles as 5x, 2x and 2x.

We know that the sum of angles of a triangle is ${180}^{\circ }$

Thus,

5x + 2x + 2x= ${180}^{\circ }$

9x= ${180}^{\circ }$

x= $\frac{180}{9}$
= ${20}^{\circ }$

Therefore,

2x= 2 $\times$ 20= ${40}^{\circ }$

5x= 5 $\times$ 20= ${100}^{\circ }$