Question

In the figure below, a Ilb, and c is a transversal. m < 5 = 52. Find the measure of each

angle specified below.

Answer 1

∠ 6 = 52° , ∠ 7 = 128°

Explanation:

8

∠ 5 and ∠ 6 are vertically opposite angles and are congruent , then

∠ 6 = ∠ 5 = 52°

9

∠ 5 and ∠ 4 are alternate angles and are congruent , that is

∠ 4 = ∠ 5 = 52°

∠ 4 and ∠ 7 are a linear pair and sum to 180° , that is

∠ 7 + ∠ 4 = 180°

∠ 7 + 52° = 180° ( subtract 52° from both sides )

∠ 7 = 128°