SOLUTION: If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each.

Algebra.Com
Question 1043417: If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each.

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52858)   (Show Source): You can put this solution on YOUR website!
.
If the base of an isosceles triangle is produced (EXTENDED) on both sides, prove that the exterior angles so formed are equal to each.
~~~~~~~~~~~~~~~~~~~~~~~~~~

Use the fact that the interior angles at the base are congruent for any isosceles triangles.

The exterior angle is a supplement to the interior angle.


Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each.
An exterior angle formed by extending a side of a triangle is equal to the sum of its INTERIOR OPPOSITE angles. 

RELATED QUESTIONS


Prove that the triangle formed by joining the midpoints of the sides of an isosceles... (answered by mananth)

If two altitudes of a triangle are equal , prove that the triangle is an isosceles... (answered by RAY100)

 Find the measure of one of the exterior angles at the base of an isosceles triangle if... (answered by ikleyn)

What is the perimeter of this isosceles triangle?

An isosceles triangle with base... (answered by Fombitz)

2 isosceles triangles have legs that are 26 and areas that are equal. If the base of one... (answered by ewatrrr)

Find the measures of one of the exterior angles at the base of an isosceles triangle if... (answered by richwmiller)

If D , E and F are the midpoints of sides AB , BC , and CA respectively of an isosceles... (answered by ccs2011)

The two equal sides of an isosceles triangle are each 49 centimeters. If the base... (answered by josgarithmetic)

prove that an exterior angle of a triangle is equal to the sum of the remote interior... (answered by solver91311)