One angle of an isosceles triangle measures 56°. What measures are possible for the other two angles? Choose all that apply.

Since the triangle is isosceles, the other two angles must be congruent.

Option 1: If the other two angles are also 56°, then the triangle is equilateral. This is possible.

Option 2: If the other two angles are greater than 56°, then the sum of the angles will be greater than 180°, which is not possible in a triangle.

Option 3: If the other two angles are less than 56°, then the sum of the angles will be less than 180°, which is possible in a triangle.

Therefore, the measures possible for the other two angles are: 56°, 56° and any two angles less than 56° such that their sum is equal to 124°.

One angle of a right triangle measures 82°. What is the measure of the other acute angle?

AAAaannndd the bot gets it wrong yet again!

what a load of rubbish

case 1: the other two angles are each 124/2 = 62°
case 2: the other two angles are 56° and 180-112=68°

To find the other two angles of an isosceles triangle when one angle is given, we need to know if the given angle is the base angle or the vertex angle.

In an isosceles triangle, the base angles are the two equal angles opposite the congruent sides, and the vertex angle is the angle formed by the two congruent sides.

If the given angle is the base angle (opposite the congruent sides), then the other two angles will also measure 56° each. This is because in an isosceles triangle, the base angles are always equal.

If the given angle is the vertex angle (formed by the congruent sides), then the other two angles will be equal and can be determined by subtracting the given angle from 180° and dividing by 2. In this case, the other two angles would be:

180° - 56° = 124°
124° ÷ 2 = 62°

So, the possible measures for the other two angles are:
- If the given angle is the base angle: 56° and 56°.
- If the given angle is the vertex angle: 62° and 62°.

Therefore, the possible measures for the other two angles of the isosceles triangle are 56° and 56° or 62° and 62°.