Answer:
see explanation
Explanation:
assuming you require the measure of the numbered angles.
∠ 5 and 148° are vertically opposite angles and are congruent , so
∠ 5 = 148°
∠ 6 and 148° are a linear pair and sum to 180° , that is
∠ 6 + 148° = 180° ( subtract 148° from both sides )
∠ 6 = 32°
∠ 6 and ∠ 7 are vertically opposite angles and are congruent , then
∠ 7 = 32°
∠ 3 and ∠ 6 are same- side interior angles and sum to 180° , that is
∠ 3 + 32° = 180° ( subtract 32° from both sides )
∠ 3 = 148°
∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 1 = 148°
∠ 1 and ∠ 2 are a linear pair and sum to 180° , so
∠ 2 + 148° = 180° ( subtract 148° from both sides )
∠ 2 = 32°
∠ 2 and ∠ 4 are vertically opposite angles and are congruent , then
∠ 4 = 32°
In summary
∠ 1 = 148° , ∠ 2 = 32° , ∠ 3 = 148° , ∠ 4 = 32° , ∠ 5 = 148° , ∠ 6 = 32° , ∠ 7 = 32°