Question

Solve for measure of angle b and angle c

Answer 1

∠ a = 153° , ∠ b = 27° , ∠ c = 48°

Explanation:

3

(a)

∠ b and 153° are vertically opposite angles and are congruent (equal ), so

∠ b = 153°

(b)

∠ c and 153° are a linear pair and sum to 180° , that is

∠ c + 153° = 180° ( subtract 153° from both sides )

∠ c = 27°

4

∠ a and 42° form the right angle (90° ) , that is

∠ a + 42° = 90° ( subtract 42° from both sides )

∠ a = 48°