Question

In the given figure, ABCD is parallelogram. If $\angle A={75}^{\circ }$, then $\angle B$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

In a parallelogram, the sum of any two adjacent angles is ${180}^{\circ }$ $\angle A+\angle B={180}^{\circ }\Rightarrow {75}^{\circ }+\angle B={180}^{\circ }\Rightarrow \angle B={180}^{\circ }-{75}^{\circ }={105}^{\circ }$