Answer:
48°, 57° and 66°
Explanation:
Start with the first isosceles triangle. In the first triangle, two of the angles are 66°. To find the other missing angle, set the sum of the angle measures equal to 180° and solve.66° + 66° + m = 180°132° + m = 180°Addm = 180° − 132° Subtract 132° from both sides m = 48°Simplify The missing angle in the first triangle is 48°.Now look at the second isosceles triangle. In the second triangle, two congruent angles are unknown. Set the sum of the angle measures equal to 180° and solve.66° + n + n = 180°66° + 2n = 180°Combine like terms2n = 180° − 66°Subtract 66° from both sides2n = 114°Simplify n = 57°Divide both sides by 2The missing angles in the second triangle are 57° and 57°.So, depending on which isosceles triangle you pick, the missing angles could be either 66° and 48°, or 57° and 57°.