Question

In the figure, PQRS is a parallelogram. If $\angle P={75}^o$, then $\angle Q=$

• A. ${75}^o$
• B. ${90}^o$
• C. ${105}^o$
• D. ${100}^o$

Answer 1

Answer: (C)

${105}^o$

In a $\parallel gm$ sum of adjacent angles $={180}^{\circ }$

$\angle P+\angle Q={180}^{\circ }\Rightarrow {75}^{\circ }+\angle Q={180}^{\circ }$

$\angle Q={105}^{\circ }$