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Intermediate June 2018 Unit 2 Q6

WJECIntermediateCurrent spec3 marksAngles (Including Parallel Lines)Angles in Polygons

6. Circle the correct equation for each of the following.
All the lines shown are straight lines.

(a) [1]
Triangle with interior angles a at the top and b at the bottom left; the base is extended to the right, making exterior angle c

\(a = b + c\)     \(b = c + a\)     \(b = a - c\)     \(c = a + b\)     \(c = a - b\)

(b) [1]
Two parallel lines (arrows) crossed by a transversal; at the upper crossing angles s (top left), r (top right), p (bottom left), q (bottom right); at the lower crossing angles d (top left), c (top right), a (bottom left), b (bottom right)

\(a + c + s + q = 360^\circ\)     \(p + a = 180^\circ\)     \(c = q\)     \(d = r\)     \(p + q + d + c = 180^\circ\)

(c) [1]
Pentagon with each side extended, showing exterior angles a, b, c, d and e

\(\dfrac{a+b+c+d+e}{5} = 360^\circ\)     \(a+b+c+d+e = \dfrac{360^\circ}{5}\)     \(a+b+c+d+e = 180^\circ\)

\(a+b+c+d+e = 540^\circ\)     \(a+b+c+d+e = 360^\circ\)

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