Question

The three angles of a quadrilateral are ${75}^{\circ }$, ${90}^{\circ }$ and ${75}^{\circ }$. What is the fouth angle?

• A. ${75}^{\circ }$
• B. ${150}^{\circ }$
• C. ${120}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is C ${120}^{\circ }$

Sum of all angles of a quadrilateral is ${360}^{\circ }$.

$Fourthangle={360}^{\circ }-({75}^{\circ }+{90}^{\circ }+{75}^{\circ })={120}^{\circ }$