Question

In the given measure, measure of $\angle b$ and $\angle x$ are

• A. $\angle x={90}^{\circ }\angle b={60}^{\circ }$
• B. $\angle x={90}^{\circ }\angle b={30}^{\circ }$
• C. $\angle x={90}^{\circ }\angle b={90}^{\circ }$
• D. $\angle x={90}^{\circ }\angle b={180}^{\circ }$

Answer 1

The correct option is C $\angle x={90}^{\circ }\angle b={90}^{\circ }$

$\angle x$ is a vertically opposite angle to 90 degrees. Hence $x={90}^o$

$\angle b$ and $\angle x$ form a linear pair of angles.

$90+\angle b=180⟹\angle b={90}^o$