WAEC 2021 · Paper 1 · Q33

Find the value of (x+y)(x + y) in the diagram, where the two horizontal lines are parallel.

y35°x110°
Worked solution (try it first)
  1. The transversal marked 110∘110^\circ makes 110∘110^\circ with the rightward direction at both parallel lines (corresponding angles).
  2. So y=180∘−110∘=70∘y = 180^\circ - 110^\circ = 70^\circ (angles on a straight line).
  3. The other transversal makes 35∘35^\circ with the rightward direction at both lines, so at the lower line x=180∘−35∘=145∘x = 180^\circ - 35^\circ = 145^\circ.
  4. So x+y=145∘+70∘=215∘x + y = 145^\circ + 70^\circ = 215^\circ, option A.

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