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Intermediate June 2019 Unit 1 Q9

WJECIntermediateCurrent spec4 marksAngles (Including Parallel Lines)

9. ABCD is a rectangle.
AB is parallel to EF.
AC, CE and DG are straight lines.

Rectangle ABCD (A bottom-left, B bottom-right, C top-right, D top-left) with diagonals AC and DB meeting at an angle of 110° (the angle below the crossing point). CB extends down to E, and DB extends beyond B to G. EF is parallel to AB, with F on line BG. Angle a is angle ABD at B; angle b is between BE and BF; angle c is at F, below EF, between FE and FG

Diagram not drawn to scale

Find the size of each of the angles \(a\), \(b\) and \(c\). [4]

\(a =\) …………………… °    \(b =\) …………………… °    \(c =\) …………………… °

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