Question

Which of the following is a pair of supplementary angles?

• A. ${55}^{\circ },{115}^{\circ }$
• B. ${65}^{\circ },{125}^{\circ }$
• C. ${47}^{\circ },{133}^{\circ }$
• D. ${40}^{\circ },{50}^{\circ }$

Answer 1

The correct option is C

${47}^{\circ },{133}^{\circ }$

A pair of angles are called supplementary when their sum is equal to ${180}^{\circ }.$

${55}^{\circ }+{115}^{\circ }={170}^{\circ }$

${65}^{\circ }+{125}^{\circ }={190}^{\circ }$

${47}^{\circ }+{133}^{\circ }={180}^{\circ }$

${40}^{\circ }+{50}^{\circ }={90}^{\circ }$

$\therefore {47}^{\circ }and{133}^{\circ }$ are supplementary angles.