SOLUTION: The third angle of an isosceles triangle is 16 dgree less than the sum of the two equal angles.Find three angles of the triangle.
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Question 733740: The third angle of an isosceles triangle is 16 dgree less than the sum of the two equal angles.Find three angles of the triangle. Answer by MathLover1(20850) (Show Source):
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An isosceles triangle is a triangle with (at least) two equal sides, then base angles are congruent.
let the two equal angles be and
so,
third angle is
if the third angle of an isosceles triangle is dgree less than the sum of the two equal angles, then
......since , we have
..solve for
we know that the sum of all three angles in triangle is
then we have:
.......substitute and ....solve for
then
and
