Answer:
∠1 = 126°
∠4 = 54°
∠7 = 126°
Explanation:
Since line p and line q are parallel lines we can use the angle relations to find the missing angle measures.
∠1 and ∠3 are alternate and congruent, so their measures are equal and 126° each.
∠4 and ∠3 are making a straight line and are supplementary angles, so their sum is adding up to 180°.
To find ∠4 we need to subtract 126 from 180:
180 - 126 = 54°
∠7 and ∠3 are corresponding angles and so they are equal in measurement and 126° each.