Answer:
Either 74° and 32°
or 53° and 53°
Explanation:
An isosceles triangle has at least two congruent angles.
There are two possibilities in this problem.
1)
The 74° angle is one of the two congruent angles.
Then, one other angle measures also 74°.
The third angle measures 180° - 74° - 74° = 32°
2)
The 74° is not one of the two congruent angles.
Then the other two angles are congruent.
180° - 74° = 106°
The sum of the measures of the two congruent angles is 106°, so each of the two congruent angles measures 53°.
Answer:
Either 74° and 32°
or 53° and 53°