The diagram shows triangle ABC - OCR - GCSE Maths - Question 9 - 2019 - Paper 4
Question 9
The diagram shows triangle ABC. CD is parallel to AB.
A, C and E lie in a straight line.
Angles of size $a^1$, $b^1$ and $c^1$ are shown.
(a) Insert $a^1$, $b^1$ o... show full transcript
Worked Solution & Example Answer:The diagram shows triangle ABC - OCR - GCSE Maths - Question 9 - 2019 - Paper 4
Step 1
Insert $a^1$, $b^1$ or $c^1$ to make this statement true.
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Answer
Angle DCE = a1 because angles in parallel lines are corresponding angles.
Step 2
Use the diagram and the answer to part (a) to show that the angles of a triangle add up to 180°.
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Answer
In triangle ABC, by the angle sum property, the sum of the angles is equal to 180°.
As given, angle DCE = a1, angle ABC = b1, and angle CAB = c1 respectively.
Since angles DCE (a1), ABC (b1), and CAB (c1) are the internal angles of triangle ABC, we can state that:
