Question

In an isosceles triangles each of the base angles is thrice the vertical angle .Then the measurement of vertical angle is.​

Answer 1

Answer:

plz mark as brainliest it took me a lot of time to type this and this is the correct answer

Step-by-step explanation:

Let the vertical angle be x ;  

We know that of an isosceles triangle two base angles are equal therefore other two angles are 3x and 3x  

Now using Angle Sum Property;  

x+3x+3x = 180°  

7x= 180° ;x= 180/7 ;x=25.71°  

Vertical angle is 25.71° whereas base two angles are 77.13° & 77.13°  

✌️ hope it helps you ✌️

Answer 2

Given,

The given triangle is an isosceles triangle.

Each of the base angles of the given isosceles triangle, is thrice the vertical angle.

To find,

The measurement of the vertical angle.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Let, the measurement of vertical angle = x°

According to the data mentioned in the question,

Base angle = 3×x° = 3x°

(In case of isosceles triangle two of its base angles are equal.)

So, sum of the three angles = x°+3x°+3x° = 7x°

According to the property of the triangle, the sum of the all three internal angles of a triangle is 180°

Thus,

7x = 180

x = 180/7

x = 25.71 (approx.)

(This value of x will be the approximate measurement of the vertical angle of the given isosceles triangle.)

Hence, the measurement of the vertical angle is approximately 25.71°