120° and ∠1 are supplementary angles, that means if they are added, their sum will be 180°.
So, the solution will be:
180° - 120° = 60°
∠1 and ∠2 are vertical angles, that means their measure is congruent.
So, if ∠1 is 60°, ∠2 will also be 60°.
120° and ∠3 are vertical angles so that means they are congruent.
∠3 will also be measured 120°.
120° and ∠4 are corresponding angles. It means that they are congruent.
So, ∠4 measures 120° also.
∠1 and ∠5 are corresponding angles and they must be congruent. If ∠1 is 60°, then ∠5 is also 60°.
∠5 and ∠6 are vertical angles so they must be equal. If ∠5 is 60°, ∠6 will also be 60°.
∠4 is 120°. ∠4 and ∠7 are vertical angles so they are congruent. Therefore, ∠7 is also 120°.