SOLUTION: Instructions: Define a variable, write an equation and solve the problem. One of the congruent angles of an isosceles triangle measures 37 degrees. Find the measures of the oth

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Question 160526This question is from textbook
: Instructions: Define a variable, write an equation and solve the problem.
One of the congruent angles of an isosceles triangle measures 37 degrees. Find the measures of the other angles. This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let the measure if the missing angle be A (This is the required variable)
You know that the sum of the angles in any triangle is 180 degrees.
You also know that the base angles of an isosceles triangle are congruent, so that the measure of two base angles would be 37 degrees each.
To find the vertex (third) angle (A), subtract the sum of the base angles (37+37) from 180. You can write the equation:
A = 180 - 2(37) This is the required equation. Simplify this.
A = 180 - 74
A = 106 degrees.
So the measures of the three angles are:
37 degrees
37 degrees
106 degrees.
And, of course, their sum is 180 degrees.