Question

In the given figure, if $b-a={50}^o$ then the value of $b$ and $a$ is

• A. ${120}^o,{60}^o$
• B. ${140}^o,{40}^o$
• C. ${115}^o,{65}^o$
• D. ${130}^o,{80}^o$

Answer 1

Answer: (C)

${115}^o,{65}^o$

Given that,

$b-a={50}^{\circ }$ …….. (1)

In the given figure, we know that

$a+b={180}^{\circ }$ ……. (2)

On adding equation (1) and (2), we get

$2b={230}^{\circ }$

$b={115}^{\circ }$

And $a={65}^{\circ }$

Hence, this is the answer.