Question

ABC, PQR and AQD are straight lines.

ABC is parallel to PQR.
Angle BAQ = 40°
Angle BQA = 90°
Work out the size of the angle marked x.
Give reasons for each stage of your working.​

Answer 1

∠x = 50°

Explanation:

∠ABQ = 180 - 90 - 40 = 50° because all interior angles of a triangle add up to 180°.

∠x = ∠ABQ because they are corresponding angles.

∠x = 50°