An isosceles triangle has an angle that measures 106°. What measures are possible for the other two angles? Choose all that apply.
An isosceles triangle has two equal angles, so let's call the two equal angles x. Then we have:
x + x + 106° = 180° (the sum of angles in a triangle is 180°)
2x + 106° = 180°
2x = 74°
x = 37°
Therefore, the other two angles can either be:
- 37° and 37° (which would make the triangle equilateral as all angles and sides would be equal)
- 74° and 106° (which would make the triangle isosceles)
So, both of these measures are possible for the other two angles.