AB and CD are parallel lines - OCR - GCSE Maths - Question 7 - 2019 - Paper 2
Question 7
AB and CD are parallel lines.
EF and FB are straight lines.
Complete the following statements.
x = 55° because ....................................................... show full transcript
Worked Solution & Example Answer:AB and CD are parallel lines - OCR - GCSE Maths - Question 7 - 2019 - Paper 2
Step 1
x = 55° because
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Answer
x is equal to 55° because of corresponding angles. Since AB is parallel to CD, angle ABE (55°) is congruent to angle CEF (x) due to the property of corresponding angles formed by a transversal intersecting two parallel lines.
Step 2
y = 70° because
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Answer
y is equal to 70° because angles on a straight line sum to 180°. Therefore, angle EAB (70°) is supplementary to angle AEF (y) as they form a straight line at point E, hence y = 70°.
