A) 20
B) 40
C) 100
D) 140
Correct Answer: C
Solution :
The given ratio is\[\frac{b}{a}=\frac{2}{7}\] Let the values of \[b\] and \[a\] be represented as \[b=2x\]and \[a=7x\] Now, sum of the measures of angles \[a\] and \[b\] is \[{{180}^{o}}\] \[i.e.\] \[a+b={{180}^{o}}\] \[\Rightarrow \] \[7x+2x={{180}^{o}}\] \[\Rightarrow \] \[9x={{180}^{o}}\] \[\Rightarrow \] \[x=\frac{{{180}^{o}}}{9}\] \[\Rightarrow \] \[x={{20}^{o}}\] Now, \[b=2x=2\times {{20}^{o}}={{40}^{o}}\] \[a=7x=7\times 20=140\] \[\therefore \] \[a-b={{140}^{o}}-40={{100}^{o}}\]
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