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Question

# Mark (✓) against the correct answer In the given figure, what value of x will make AOB a straight line? (a) x = 50 (b) x = 100 (c) x = 60 (d) x = 80

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Solution

## $\left(d\right)x=80\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}x+55+45=180\left(\mathrm{linear}\mathrm{pair}\right)\phantom{\rule{0ex}{0ex}}⇒\mathrm{x}=180-55-45\phantom{\rule{0ex}{0ex}}⇒\mathrm{x}=180-100\phantom{\rule{0ex}{0ex}}⇒\mathrm{x}=80\phantom{\rule{0ex}{0ex}}$

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