In Fig. 8.124, if x/y = 5 and z/x = 4, then the value of x is
A. 8° B. 18°
C. 12°
D. 15°
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Concept :
Linear pair of angles:
If Non common arms of two adjacent angles form a line, then these angles are called linear pair of angles.
Given : x/y = 5 and z/x = 4
y = 5x
And,
z/x = 4
z = 4x
From the given figure :
x + y + z = 180° (Linear pair)
x + 5x + 4x = 180°
10x = 180°
x = 180°/10
x = 18°
Hence the value of x is 18° .
Option (B) 18° is correct.
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