Question

The angle which exceeds its complement by ${20}^{\circ }$ is

• A. ${45}^{\circ }$
• B. ${55}^{\circ }$
• C. ${70}^{\circ }$
• D. ${110}^{\circ }$

Answer 1

The correct option is B ${55}^{\circ }$

Complimentary angles when added equals 90 degree

Let one angle be x other will be x+20

$x+x+20=90$

$2x+20=90$

$2x=70$

$x=35$

one angle is 35 other will be 35+20=55degree

angle which exceeds its complement by 20 degree will be $55$ degree