4MA0 Foundation January 2017 Paper 1R Q11

EdexcelFoundationOld spec7 marksAngles (Including Parallel Lines)Angles in Polygons

11

Quadrilateral ABDE with A and B on the straight line ABC; angle AED = 130 degrees, angles EAB and EDB are both y degrees, angle ABD = 76 degrees and angle DBC = x degrees

Diagram NOT accurately drawn

\(ABC\) is a straight line.
\(ABDE\) is a quadrilateral.

(a)
(i) Work out the value of \(x\).
(ii) Give a reason for your answer.
(2)
(b) Work out the value of \(y\). (3)

Each exterior angle of a regular polygon is 18°

(c) Work out the number of sides of this regular polygon. (2)
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