To find the measure of the congruent angles in the triangle, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Given:
One angle of the triangle measures 132 degrees.
Let's represent the measure of the congruent angles as "x".
According to the given information:
Angle 1 + Angle 2 + Angle 3 = 180
Substituting the given values:
132 + x + x = 180
Combining like terms:
132 + 2x = 180
Subtracting 132 from both sides:
2x = 180 - 132
Simplifying:
2x = 48
Dividing both sides by 2:
x = 24
Therefore, the congruent angles each measure 24 degrees.
There you go ;)