Question

The vertical angle of an isosceles triangle is 80degree.Find measurment of its base angles.​

Answer 1

Answer:

The base angles = 50° and 50°

Step-by-step explanation:

Given :

The vertical angle of an isosceles triangle = 80°

Sum of all angles of the isosceles triangle = 180°

To find :

The base angles of the isosceles triangle

Explanation :

The isosceles triangle have the two angles are equal and one angle is different.

Taken :

Let the base angles be x

To find the base angles use this formula -:

$\boxed{\sf{x+x+{80}^{\circ}={180}^{\circ}}}$

Solution :

>> x+x+80°=180°

>> 2x+80°=180°

>> 2x=180°-80°

>> 2x=100°

>> x=100°/2

>> x=50°

So , the base angles are 50° and 50° .