Final answer:
In an isosceles triangle with one angle measuring 94°, the other two angles are equal and must both be 43°. This is because the sum of all angles in any triangle is 180°, and subtracting 94° from 180° leaves 86°, which divided by 2 gives us the measure of the other two angles.
Step-by-step explanation:
The subject of this question is determining the possible angle measures in an isosceles triangle when one angle is known to be 94°. In an isosceles triangle, two sides are of equal length, and the angles opposite those sides are also equal. Since the sum of all angles in a triangle is always 180°, we can find the measures of the other two angles by subtracting the given angle from 180° and dividing the result by 2.
Step 1: Subtract the given angle from the total sum of angles in a triangle.
180° - 94° = 86°.
Step 2: Divide the remaining degrees by 2 to find the measure of each of the other two equal angles.
86° ÷ 2 = 43°.
Therefore, the other two angles in the isosceles triangle must both be 43°. This means the correct answer is D. 43. Other provided options (A, B, C) do not apply because they would not add up to 180° when combined with a 94° angle and a second angle of equal measure.