Question

In the given figure, $\angle x$ and $\angle y$ are......

• A. $x={70}^0,y={37}^0$
• B. $x={37}^0,y={70}^0$
• C. $x={50}^0,y={57}^0$
• D. $x={57}^0,y={50}^0$

Answer 1

The correct option is A $x={70}^0,y={37}^0$

In given figure $AB=AC\&BD=CD$

then $\angle ABD=\angle ACD$ Or $\angle BDC=\angle BAC$ diagonally opposite angles are equal.

$\angle BDC=\angle ADB+\angle ADC$, $\angle BAC=\angle BAD+\angle CAD$

So $y+70=x+37$

only option A satisfies above eqaution

Then $x=70$ or $y=37$