Question

the ratio between the vertical angle and a base of an isosceles triangle is5:2. find
all the angles of the triangle

Answer 1

5x + 2x + 2x = 180
9x=180
x= 20

angles are 100°, 40°,40°

Answer 2

We know that,

➡ In isosceles triangle, base angles are equal.

➡ sum of all the angles of a triangle is 180°.

Let all the angles of triangle be 5x, 2x and 2x

A/q,

➡ 5x + 2x + 2x = 180°

➡ 9x = 180

➡ x = 180/9

➡ x = 20

so, the angles of triangle =

➡ 5x = 5(20) = 100°

➡ 2x = 2(20) = 40°

➡ 2x = 2(20) = 40°.

Hope it will help you !