Question

If two angles in a rectangle are $(x+30)°$ and $(y+50)°$, then the value of 'x + y' is .

• A. 90°
• B. 80°
• C. 110°
• D. 100°

Answer 1

The correct option is D 100°

We know that in a rectangle, each angle is equal to ${90}^{\circ }$.
So, each of the angles $(x+30{)}^{\circ }$ and $(y+50{)}^{\circ }$ need to be equated to ${90}^{\circ }$. This gives us the following equations:
$(x+30{)}^{\circ }={90}^{\circ }$ and
$(y+50{)}^{\circ }={90}^{\circ }$
Solving these equations, we get $x={60}^{\circ }$ and $y={40}^{\circ }$ respectively and therefore, $x+y={100}^{\circ }$.