Bill knows that one angle in an isosceles triangle measures 100 degrees. If the other 2 angles are congruent, what is the measure of each of those angles?

Responses
A 40 degrees40 degrees
B 80 degrees80 degrees
C 60 degrees60 degrees
D 100 degrees

1 answer

The sum of the angles in any triangle is 180 degrees. In an isosceles triangle, two angles are congruent. Let x be the measure of each of the congruent angles. Then we can set up the equation:

100 + x + x = 180

Simplifying and solving for x:

2x + 100 = 180

2x = 80

x = 40

Therefore, each of the congruent angles measures 40 degrees. Answer: A) 40 degrees.