Question

If an angle exceeds its supplement by 44°, then the angle is ___.

• A.

  ${100}^{\circ }$

• B.

  ${89}^{\circ }$

• C.

  ${156}^{\circ }$

• D.

  ${112}^{\circ }$

Answer 1

The correct option is D

${112}^{\circ }$

Let the angle be $x°$

Then, its supplement is ${180}^{\circ }-x°$ ....(Sum of supplementary angles is 180°)

Angle exceeds - it's supplement = 44°

x° - (180° - x°) = 44°

x° - 180° + x° = 44°

2x° = 224°

x = 112°

Verification: Angle = 112°, Supplement = 180° - 112° = 68°

Angle - Supplement = 112° - 68° = 44°