Question

Which of the following is correct relation between $x$ and $y$?

• A. $x>y$
• B. $x<y$
• C. $x=y$
• D. $\frac{x}{y}=\frac{1}{2}$

Answer 1

Answer: (C)

$x=y$

$AB=AC$ (Given)

$\Rightarrow \angle ABC=\angle ACB$

$[\because$ Angles opposite to equal sides are equal$]$

$\Rightarrow {180}^o-\angle ABC={180}^o-\angle ACB$

$\Rightarrow x=y$