SOLUTION: what is the measure of each base angle of an isosceles triangle if its third angle measures 36 degrees and its two congruent sides measures 20 units?

Question 717752: what is the measure of each base angle of an isosceles triangle if its third angle measures 36 degrees and its two congruent sides measures 20 units?
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
The base angles of an isosceles triangle are equal.
Let b = measure of the base angle. Since the sum of the angles is 180 degrees we have
(1) b + b + 36 = 180 or
(2) 2*b = 180 - 36 or
(3) 2*b = 144 or
(4) b = 72
Check this.
Is ( 72 + 72 + 36 = 180)?
Is ( 5*36 = 180)?
Is (180 = 180)? Yes
Answer: The base angles are 72 degrees.
PS You don't need the length of the sides.

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