!
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

answer: 5

step-by-step explanation:

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.