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

3 answers

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°