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Year 9 maths · L.8 · Angles and polygons

Solve for x: co-interior angles

Write an equation from the angle relationship: equal angles are set equal, co-interior angles add to 180°. Then solve for x.

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  1. Two parallel lines are cut by a transversal. Two co-interior angles measure (4x + 8)° and (4x + 20)°. Find x.

    Answer: 19

  2. Two parallel lines are cut by a transversal. Two co-interior angles measure (3x + 19)° and (5x + 49)°. Find x.

    Answer: 14

  3. Two parallel lines are cut by a transversal. Two co-interior angles measure (4x + 4)° and (5x + 59)°. Find x.

    Answer: 13

Tip: Write an equation from the angle relationship: equal angles are set equal, co-interior angles add to 180°. Then solve for x.

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