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Find the value of m in the diagram...

Find the value of m in the diagram

Find the value of m in the diagram

A.

34^o

B.

27^o

C.

23^o

D.

17^o

View answer & explanation

Correct answer is D

\(\bigtriangleup\) 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

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