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in an isosceles triangle, the base angles are equal and the vertex angle is 80°. find the measure of the base angles. (note: the angles of a triangle add up to 180°.)

this is multi step equations.

The measure of base angles of isosceles triangle having vertex angle as 80 degree is 50 degree each

Solution:

Given that,  

In an isosceles triangle, the base angles are equal  

Measure of vertex angle =

Need to calculate two equal base angle of triangle  

Lets measure of each of the base angle =

So measured of three angles of triangle are

And as the angles of a triangle add up to 180°  

=> x+ x + 80 = 180

On solving above expression for x we get,  

Measure of base angle = x = 50 degree

Hence measure of base angles of isosceles triangle having vertex angle as 80 degree is 50 degree each