Question

In the figure, lines a, b, and c are parallel and m24 = 48

Drag and drop the correct angle measure for each angle

m21=
m22=
m23=
m24=

42
48
132
312

Answer 1

m<1 = 48°

m<2 = 132°

m<3 = 132°

m<5 = 48°

Explanation:

Given:

m<4 = 48°

Required:

m<1, m<2, m<3, and m<5

Solution:

m<1 = m<4 (alternate exterior angles are congruent)

m<1 = 48° (substitution)

m<2 = 180° - (m<1) (linear pair theorem)

m<2 = 180° - 48° (substitution)

m<2 = 132°

m<3 = m<2 (alternate interior angles are congruent)

m<3 = 132° (substitution)

m<5 = m<4 (corresponding angles are congruent)

m<5 = 48° (substitution)