Question
Prove the side of triangle is is produced then the exterior angle formed is equal to the sum of two interior opposite angle
Answers
Steve
recall that alternate interior angles between parallel lines are congruent.
Draw a line through one vertex parallel to the opposite base.
the rest is easy.
Draw a line through one vertex parallel to the opposite base.
the rest is easy.
Reiny
let the angles in the interior of the triangle be
x, y, and z
Extend the base at the z angle
let the exterior angle be k
we know x+y+z = 180°
we know that the z + k = 180 , (angles forming a straight line)
so x+y+z = z + k
x + y = k
state your conclusion
x, y, and z
Extend the base at the z angle
let the exterior angle be k
we know x+y+z = 180°
we know that the z + k = 180 , (angles forming a straight line)
so x+y+z = z + k
x + y = k
state your conclusion