Foundation June 2022 Paper 1 Q6

EdexcelFoundationCurrent spec5 marksAngles (Including Parallel Lines)Angles in Polygons

6

Straight line ABC with a line from B; angle x degrees between BA and the line, 48 degrees between the line and BC

Diagram NOT accurately drawn

\(ABC\) is a straight line.

(a)
(i) Work out the value of \(x\) (1)
(ii) Give a reason for your answer to (i) (1)
Quadrilateral ABCF with angle ABC = 105 degrees, angle BAF = y degrees, angle AFC = 125 degrees; BC extends to E and FC extends to D, with CDE a triangle

Diagram NOT accurately drawn

\(CDE\) is an equilateral triangle.
\(ABCF\) is a quadrilateral.

\(BCE\) and \(DCF\) are straight lines.

(b) Work out the value of \(y\)
You must show your working. (3)