Question

In the given figure, the value of 'x' and 'y' is:

• A. $x={45}^{\circ },y={65}^{\circ }$
• B. $x={125}^{\circ },y={65}^{\circ }$
• C. $x={75}^{\circ },y={45}^{\circ }$
• D. $x={125}^{\circ },y={35}^{\circ }$

Answer 1

The correct option is B $x={125}^{\circ },y={65}^{\circ }$

From angle sum property of a triangle, we have
${55}^{\circ }+{60}^{\circ }+y^{\circ }={180}^{\circ }\Rightarrow y={180}^{\circ }-{115}^{\circ }\Rightarrow y={65}^{\circ }$
From exterior angle property of a triangle
${60}^{\circ }+{65}^{\circ }=x\Rightarrow x={125}^{\circ }$
Hence, the value of 'x' and 'y' is ${125}^{\circ }$ and ${65}^{\circ }$.