Question

In the given figure, the value of x+y is degrees.

• A. 180
• B. 360
• C. 270
• D. 210

Answer 1

The correct option is D 210

$Sincesumoflinearpairanglesis{180}^{\circ }$
$\therefore {90}^{\circ }+x={180}^{\circ }\Rightarrow x={180}^{\circ }-{90}^{\circ }={90}^{\circ }Andz+{30}^{\circ }={180}^{\circ }\Rightarrow z={180}^{\circ }-{30}^{\circ }={150}^{\circ }Alsoy={90}^{\circ }+{30}^{\circ }={120}^{\circ }$ $Exteriorangleproperty$

$\therefore x+y={90}^{\circ }+{120}^{\circ }={210}^{\circ }$