Question

the ratio between the vertex angle and a base angle of an isosceles triangle is 4:3. find all the angle in the given figures .​

Answer 1

Answer:

72°,54°,54°

Step-by-step explanation:

let the ratio be x then, vertex angle =4x

base angle=3x

As we know that ,sum of angle of triangle is 180°

then 4x+3x+3x=180

10x=180

x=18°

3x=3×18=54°

4x=4×18=72°

The angle of triangle are 72°,54°,54°

Hope! this solution will help you

Answer 2

Answer:

vertex angle = 72 and base angle = 54

Step-by-step explanation:

as ratio of the vertex angle and a base angle = 4/3

let be ratios x

as isscosele has two equal angle

and we know sum of all angle = 180

therefore 4x+3x+3x = 180

10x = 180

× = 18

so now vertex angle = 4(18) = 72

and base angle = 3(18) = 54