Find the value of m in the diagram

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 = 180^o

9m = 180 - 27

9m = 153

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

= 17