Question

The angles in a rectangle are given by $(x+30{)}^{\circ }$ and $(y+50{)}^{\circ }$ respectively, find the value of $x+y$

• A. 90°
• B. 100°
• C. 80°
• D. 20°

Answer 1

The correct option is B

100°

We know that in a rectangle, all angles are equal to ${90}^{\circ }$.
So, the angles $(x+30{)}^{\circ }$ and $(y+50{)}^{\circ }$ need to be equated to ${90}^{\circ }$ respectively. 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, $x+y={100}^{\circ }$.