Question

If opposite angles in a parallelogram are 110 degrees each, what are the other 2 angles?

• A. ${70}^{\circ }$ each
• B. ${110}^{\circ }$ each
• C. ${220}^{\circ }$ each
• D. ${140}^{\circ }$ each

Answer 1

The correct option is A

${70}^{\circ }$ each

Opposite angle is a parallelogram are equal and the sum is ${360}^{\circ }$

2x + 2y = ${360}^{\circ }$

2x + 2(${110}^{\circ }$) = ${360}^{\circ }$

2x = ${360}^{\circ }$ - ${220}^{\circ }$

2x = ${140}^{\circ }$

x = ${70}^{\circ }$