Question

the ratio between the vertical angle and the base of an isosceles triangle is 4:3 find all the angles of the triangle

Answer 1

Answer:

72, 54, 54

Step-by-step explanation:

Let angles = 4x, 3x

Base angle = 3x

Vertical angle = 4x

Since in an isosceles triangle, the base angles are equal, thus, the other base angle = 3x

By angle sum property:

4x + 3x + 3x = 180

=> 10x = 180

=> x = 18°

Angles = 4x, 3x, 3x

= 72°, 54°, 54°

Answer 2

Step-by-step explanation:

vertical angle = 4x

bases angle=3x + 3x

4x+3x+3x = 180 (angle sum property)

10x = 180

x = 18

3x = 54

4x = 72