Question

Three angles of a quadrilateral are ${75}^{\circ }$, ${100}^{\circ }$ and ${55}^{\circ }$. The fourth angle is:

• A. 120
• B. 130
• C. 200
• D. 230

Answer 1

The correct option is B

130

By angle sum property, we know that the sum of four angles of a quadrilateral is ${360}^{\circ }$

Thus, the fourth angle is ${360}^{\circ }$ - ( ${75}^{\circ }$ + ${100}^{\circ }$ + ${55}^{\circ }$) = ${360}^{\circ }$ - ${230}^{\circ }$ = ${130}^{\circ }$