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.​

∠x = 50°

Step-by-step 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°

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x