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Find the value of m in the diagram

Mathematics
WAEC 2013

Find the value of m in the diagram
  • A. 34o
  • B. 27o
  • C. 23o
  • D. 17o
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Correct Answer: Option D
Explanation
\(\bigtriangleup\) ABC, A + 153 = 180 (angles on straight line)

< A = 180 - 153 = 27

< B = 2m(vertically opposite angles)

< C = 7m (corresponding ngles)

< A + < B + < C = 180 (sum of int. angles of \(\bigtriangleup\))

i.e. 27 + 2m + 7m = 180o

9m = 180 - 27

9m = 153

m = \(\frac{153}{9}\)

= 17

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