Question

The angles of a hexagon are ${(2x+5)}^{\circ },{(3x-5)}^{\circ },{(x+35)}^{\circ },{(2x+20)}^{\circ },{(2x+25)}^{\circ }$ and ${(2x+30)}^{\circ }$. Find the value of $x$.

• A. $x=42$
• B. $x=75$
• C. $x=50$
• D. $x=35$

Answer 1

The correct option is C $x=50$

The hexagon has 6 sides
Sum of its interior angles = $(2\times 6-4)$ right angles
$=(12-4)$ right angles = $8\times 90={720}^o$

$(2x+5)+(3x+5)+(x+35)+(2x+20)+(2x+25)+(2x+30)={720}^o$

$⟹2x+5+3x-5+x+40+2x+20+2x+25+2x+35=720$

$12x=720-120$

$x=\frac{600}{12}=50$