One interior angle of a triangle is 45°, and the other two angles are congruent. Choose the equation that could be used to determine the degree measure of one of the congruent angles.

x + 45 = 180
x − 45 = 90
2x + 45 = 180
2x − 45 = 90

1 answer

In a triangle, the sum of all interior angles is always 180°. Given that one angle is 45° and the other two angles are congruent, we can let the measure of each of the congruent angles be \( x \).

The equation that represents the sum of the angles in the triangle can be written as follows:

\[ x + x + 45 = 180 \]

This simplifies to:

\[ 2x + 45 = 180 \]

Thus, the equation that could be used to determine the degree measure of one of the congruent angles is:

2x + 45 = 180