Q122 of 158 Page 159

The angles of a triangle are in the ratio 2 : 3 : 5. Find the angles.

Given: The angles of a triangle are in the ratio 2 : 3 : 5


Formula Used/Theory:-


→ Angle sum property


Sum of all angles of triangle is 180°


If angles of triangle are in ratio 2:3:5


The angles of triangles will be 2X;3X;5X


⇒ By angle sum property


2X + 3X + 5X = 180°


10X = 180°


X = = 18°


∴ The angles of triangles will be 2×18°;3×18°;5×18°


The angles of triangle is 36°;54°;90°


Result:- The angles of triangle is 36°;54°;90°


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