Question

one angle of an isosceles triangle measures 94°. what measures are possible for the other two angles? choose all that apply. 43° 56° 26° 22°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is $180^\circ$.

Step2: Identify given angle type

The given $94^\circ$ angle cannot be one of the two equal angles (since $94^\circ + 94^\circ = 188^\circ > 180^\circ$), so it is the unique angle.

Step3: Calculate equal angles sum

Subtract the given angle from $180^\circ$:
$180^\circ - 94^\circ = 86^\circ$

Step4: Find each equal angle

Divide the sum by 2:
$\frac{86^\circ}{2} = 43^\circ$

Answer:

43°