SOLUTION: The sum of angles of a triangle is 180degree and Exterior angle of a triangle is equal to sum of interior opposite angle.

Algebra.Com
Question 642235: The sum of angles of a triangle is 180degree and Exterior angle of a triangle is equal to sum of interior opposite angle.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
I guess, you need a proof.


1. angle ACE ie exterior angle of triangle ABC.....| given
2. mA+mB+mACB=180..............................................|the sum theorem
3. m ACE +m ACB=180........................................|def. of linear pair
4. mA+mB+mACB=m ACE +mACB........................|transitive property
5. mA +mB=m ACE.........................................|subtraction property

RELATED QUESTIONS

What is the ratio of sum of interior angles of a triangle to its exterior... (answered by Fombitz)
prove that an exterior angle of a triangle is equal to the sum of the remote interior... (answered by solver91311)
If the sum of the measures of two exterior angles of a triangle is 230, find the measures (answered by mangopeeler07)
can you explain to me why the exterior angle of a triangle equals the sum of two interior (answered by Alan3354)
one of the exterior angles of a triangle is 120 and the interior opposite angles are in... (answered by ankor@dixie-net.com)
decide if each statement about angle relationships is true or false. Choose True or False (answered by MathLover1)
Two angles in a triangle are equal and their sum is equal to the third angle in the... (answered by sudhanshu_kmr,Alan3354)
Two angles in a triangle are equal and their sum is equal to the third angle in the... (answered by EdenWolf)
Two angles in a triangle are equal and their sum is equal to the third angle in the... (answered by Boreal)