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GB-28-02-001 · Parallel-line angles

46°xℓm
Diagram not accurately drawn

Lines ℓ and m are parallel. The marked angles lie between the lines on the same side of the transversal. Find x. Give a reason.

Angles in Parallel Lines: Co-Interior (C) Angles Booklet p. 73
Method
Write each calculation beside the geometric reason that justifies it
Worked Example (GB-28-02-001)
1)
MathsReason
x=180∘−46∘=134∘x=180^\circ-46^\circ=134^\circCo-interior angles between parallel lines sum to 180°.
Ans = 134°