Question

Solve for x of this equation

Answer 1

Diagonals of a rhombus are perpendicular bisectors to each other

`\\ \rm\rightarrowtail NR=RP`

`\\ \rm\rightarrowtail 2x+1=91`

`\\ \rm\rightarrowtail 2x=90`

`\\ \rm\rightarrowtail x=45`

Answer 2

x = 45

Explanation:

Properties of a rhombus:

• Opposite angles are equal
• Opposite sides are equal and parallel
• Diagonals bisect each other
• The sum of any two adjacent or consecutive angles is 180°

As the diagonals bisect each other (bisect means to divide into two equal parts) then NR = RP

So, 91 = 2x + 1

Subtract 1 from both sides:

⇒ 90 = 2x

Divide both sides by 2

⇒ x = 45