An isosceles triangle has an angle that measures 110°. What measures are possible for the other two angles? Choose all that apply. 35° 45° 55° 10°

In an isosceles triangle, two angles are equal. The sum of all angles in a triangle is always 180°. If one angle measures 110°, we can find the measures of the other two angles as follows:

1. Since the triangle is isosceles, let’s denote the two equal angles as x.
2. The equation becomes: 110° + x + x = 180°
3. Simplifying this, we get: 110° + 2x = 180°
4. Subtract 110° from both sides: 2x = 70°
5. Now divide by 2: x = 35°

Thus, the two equal angles measure 35° each.

From the options provided, the possible measures for the other two angles are 35°.

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In an isosceles triangle, two angles are equal. Given that one angle measures 110°, the sum of the angles in any triangle is always 180°.

So if we denote the two equal angles as ( x ), we can write the equation:

[ 110° + x + x = 180° ]

This simplifies to:

[ 110° + 2x = 180° ]

[ 2x = 180° – 110° ]

[ 2x = 70° ]

[ x = 35° ]

Thus, the measures of the other two angles in the triangle can only be 35°.

Therefore, the possible measure for the other two angles is:

– 35°

The other options (45°, 55°, and 10°) do not satisfy the angle requirements of an isosceles triangle with the given angle.