Final answer:
In the isosceles triangle, by setting up an equation based on the fact that the sum of angles equals 180 degrees, we determine that the equal angles are 40° each and the third angle is 100°. The provided answer choices do not match these correct measures.
Step-by-step explanation:
When solving problems involving an isosceles triangle, it's essential to remember that two of the triangle's angles are equal, and the sum of all three angles must be 180 degrees. The question states that one angle is 20° more than twice the measure of one of the equal angles. Let's use x to represent the measure of one of the equal angles. Therefore, the third angle can be expressed as 2x + 20°.
To find the measures of each angle, we set up an equation using the fact that the sum of angles in a triangle is 180 degrees:
x + x + (2x + 20°) = 180°
Combining like terms, we get:
4x + 20° = 180°
Subtract 20° from both sides:
4x = 160°
Divide by 4:
x = 40°
Since x represents one of the equal angles, both equal angles are 40° each. The third angle is:
2(40°) + 20° = 80° + 20° = 100°
Therefore, the measures of the angles in the isosceles triangle are 40°, 40°, and 100°. None of the provided answer choices (A, B, C, or D) match this correct set of angles.