171k views
4 votes
If h is an angle bisector of the given isosceles triangle, what is the measure of ∠a if ∠c = 55°?

User Drrlvn
by
3.1k points

1 Answer

6 votes

Answer:


\angle a=35^o

Explanation:

see the attached figure to better understand the problem

we know that

An isosceles triangle has two equal sides and two equal interior angles

The angles opposite to the equal sides of an isosceles triangle are equal.


\angle b=\angle c

we have


\angle c=55^o -----> given problem

so


\angle b=55^o

Remember that

The sum of the interior angles in any triangle must be equal to 180 degrees


\angle b+\angle c+2\angle a=180^o

substitute the given values


55^o+55^o+2\angle a=180^o


110^o+2\angle a=180^o


2\angle a=180^o-110^o


2\angle a=70^o


\angle a=35^o

If h is an angle bisector of the given isosceles triangle, what is the measure of-example-1
User Gdeglin
by
3.6k points