Answer: 39°
Explanation:
In an isosceles triangle, two sides are of equal length, and the angles opposite these equal sides are also equal. Let's call these two equal angles x. Given that one angle measures 102°, we can find the possible measures for the other two angles.
The sum of the interior angles of a triangle is always 180°. So, we have:
x + x + 102° = 180°
2x = 180° - 102°
2x = 78°
x = 39°
Therefore, the other two angles in the isosceles triangle are both 39°.