Find the value of m in the diagram
MATHEMATICS
WAEC 2013
Find the value of m in the diagram
- A. 34°
- B. 27°
- C. 23°
- D. 17°
Correct Answer: D. 17°
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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