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Angle $ADC$ is a triangle - Edexcel - GCSE Maths - Question 7 - 2020 - Paper 1

Question 7

Angle $ADC$ is a triangle. $ED$ and $AB$ are straight lines. $EB$ is parallel to $DC$. Angle $EBC = 148^{ ext{o}}$ Angle $ADC = 63^{ ext{o}}$ Work out the size of... show full transcript

Worked Solution & Example Answer:Angle $ADC$ is a triangle - Edexcel - GCSE Maths - Question 7 - 2020 - Paper 1

Step 1

Find the size of angle EDB

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Answer

Since $ED$ and $AB$ are straight lines, the angles on a straight line add up to $180^{ ext{o}}$ . Therefore, $ext{Angle } EDB = 180^{ ext{o}} - 148^{ ext{o}} = 32^{ ext{o}}$

Step 2

Find the size of angle EAB

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Answer

Since $EB$ is parallel to $DC$ and $ED$ is a transversal line, we can use the alternate interior angles theorem. Thus, $ext{Angle } EAB = ext{Angle } EDB = 32^{ ext{o}}$

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