Question

Two angles are complementary. If the measure of one of the angle is ${20}^{\circ }$ more than the other, measure of the one of the angle is -

• A. ${50}^{\circ }$
• B. ${35}^{\circ }$
• C. ${25}^{\circ }$
• D. ${15}^{\circ }$

Answer 1

The correct option is B ${35}^{\circ }$

Let the smaller angle be $x°$

Then according to the quation,the greater angle will be $(x+20)°$

And as stated in the question,

$x+x+20°=90°$

$2x=70°$

$x=35°$

Measure of the angles be ${35}^o$ and ${55}^o$.