SOLUTION: Each of the equal angles of an isosceles triangle is four times as large as the third angle? What is the measure of each equal angle? What is the measure of the third

Question 1154040:
Each of the equal angles of an isosceles triangle is four times as large as the third angle?
What is the measure of each equal angle?
What is the measure of the third angle?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Each of the equal angles of an isosceles triangle is four times as large as the third angle?
What is the measure of each equal angle?
What is the measure of the third angle?
an isosceles triangle is a triangle that has two sides of equal length
both base angles are equal,
if each of the equal angles of an isosceles triangle is four times as large as and the third angle , we have
....eq.1
.....eq.2
the sum of all angles is
so, ....eq.3
substitute and

=> the measure of the third angle

the measure of each equal angle:
then => and

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