One interior angle of a triangle is 98.5°, and the other two interior angles are congruent. What is the degree measure of one of the congruent angles?
a 81.5°
b 90°
c 40.75°
d 49.25°
The sum of the interior angles of a triangle is always 180 degrees.
Let x be the measure of one of the congruent angles.
We can set up the equation: 98.5 + x + x = 180.
Combining like terms, we get: 98.5 + 2x = 180.
Subtracting 98.5 from both sides, we get: 2x = 81.5.
Dividing both sides by 2, we get: x = 40.75.
Therefore, the degree measure of one of the congruent angles is 40.75 degrees, which corresponds to option c.