Question

Two adjacent angles of a parallelogram are given. Find the other two angles.

• A. ${50}^{\circ }and{130}^{\circ }$
• B. ${65}^{\circ }and{115}^{\circ }$
• C. ${60}^{\circ }and{120}^{\circ }$
• D. ${100}^{\circ }and{80}^{\circ }$

Answer 1

The correct option is B

${65}^{\circ }and{115}^{\circ }$

$\angle A+\angle D={180}^{\circ }(Co-interiorangles)$

${65}^{\circ }+\angle D={180}^{\circ }$

$\angle D={180}^{\circ }-{65}^{\circ }$

$\angle D={115}^{\circ }$

$\angle B+\angle C={180}^{\circ }(Co-interiorangles)$

${115}^{\circ }+\angle C={180}^{\circ }$

$\angle D={180}^{\circ }-{115}^{\circ }$

$\angle D={65}^{\circ }$