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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\(\bigtriangleup\) 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