Question

One of the angles of a $△$ is ${75}^{}.$ If the difference of the other two other is ${35}^{}.$
Find the largest angle of the $△.$

Answer 1

We know that,

$A+B+C={180}^0$

Now,

$\begin{array}{c}b-c=35\\ 75+b+c=180\\ b+c=105\\ b-c=35\\ solvingbothsides,\\ 2b=105+35\\ b=\frac{140}{2}\\ \therefore b=70\\ b-c=35\\ 70-c=35\\ c=35\\ \therefore a=75b=70c=35\end{array}$

Hence,

We get the largest angle $a={75}^0$