Question

The ratio between the verticle angle and a base angle of an isosceles triangle is 4:3. Find all the angles of the triangle.

Answer 1

Answer:

54°,54°,72°

Step-by-step explanation:

Let the variable = x

So,the base angles will be = 3x,3x (base angles of an isosceles triangle are equal)

And,the vertical angle will be = 4x

[As the ratio of vertical angle and base angle is 4:3]

Now,the sum of the three angles of a triangle is 180°.

So,

4x + 3x + 3x = 180

10x = 180

x = 18

So,

The vertical angle will be, = 4×18=72° (answer)

The base angle will be, = 3×18 = 54°(answer)

Hope it helped ☺️

Answer 2

Answer:

Given,

base angle of an isosceles triangle is 4 : 3

Find,

all angles of the triangle

Step-by-step explanation:

SOLUTION

We know that,

the base angle of an isosceles triangle are equal.

Since,

the ratio between the Vertical angle and a base angle of an isosceles triangle is 4 : 3

So,

Let the verticle angle be 4x, then each base angle is 3x.

=> 4x + 3x + 3x = 180° (sum of angles in a triangle)

=> 10x = 180°

=> x = 180° / 10

=> x = 18°

=> 4x = 72° and 3x = 54°

Hence,

the angles of the triangle are 72°, 54°, 54°