Question

We have seen that isosceles triangles have two sides of equal length. The angles opposite these sides have the same measure. Use the information to the right to help find the measure of angles 1 through 5​

Answer 1

angle 1 = 180° - 115° (Linear Pair)

angle 1 = 65°

angle 2 = angle 1 = 65° ( Angles on the equal sides of an isosceles triangle )

angle 3 = 180° - (65° + 65°) (Angle Sum Property)

angle 3 = 180° - 130°

angle 3 = 50°

angle 4 = 180° - 65° (Linear Pair)

angle 4 = 115°

angle 5 = 115° (Vertically Opposite Angles)