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Find the value of m in the diagram.


Question

Find the value of m in the diagram.

Options

A) 34o

B) 27o

C) 23o

D) 17o

The correct answer is 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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Dicussion (1)

  • \(\bigtriangleup\) 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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