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Foundation November 2019 Paper 2 Q12

EduqasFoundationCurrent spec5 marksAngles (Including Parallel Lines)

12. In the diagram, triangle \(ABC\) is isosceles.

\(AC\) and \(DE\) are parallel, \(B\hat{A}C = 72^\circ\) and \(A\hat{C}D = 37^\circ\).

Diagram: isosceles triangle ABC with D on AB and E on BC, DE parallel to AC, line DC drawn; angle BAC = 72 degrees, angle ACD = 37 degrees

Diagram not drawn to scale

(a)

Find the size of each of the following angles.

(i) \(B\hat{D}E\) [1]
(ii) \(C\hat{D}E\) [1]
(iii) \(A\hat{B}C\) [2]
(b) Write the mathematical name of quadrilateral \(ACED\). [1]
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