Question

# The ratio between the base angle and the vertical angle is 2:5 find each angle of the triangle

Solution

## Given ratio between the base angle and vertical angle of an isosceles traingle is 2:5 ⇒ base angle / vertical angle = 2 / 5 let base angle = x ⇒ verticle angle = (5/2)x we know that verticle angle + base angle + base angle = 180° ⇒ ( 5/2 + 1 + 1 ) x = 180° ⇒ (9/2)x = 180° ⇒ x =  ( 180° x 2) / 9 ⇒ x = 40° verticle angle = (5/2) x 40° = 100° base angle =40 degree  vertical angle=100 degree there for angle of triangle become 40degree,40 degree,100 degree which is an isosceles traingle.

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