Question

1. lmno is a parallelogram. if nm = x + 15 and ol = 3x + 5, find the value of x.

x = 5
x = 10
x = 7
x = 15

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, opposite - sides are equal. So, in parallelogram LMNO, $NM = OL$.

Step2: Set up the equation

We are given that $NM=x + 15$ and $OL = 3x+5$. So, $x + 15=3x+5$.

Step3: Solve the equation for x

Subtract $x$ from both sides: $15=3x - x+5$. Simplify to get $15 = 2x+5$. Then subtract 5 from both sides: $15 - 5=2x$, which gives $10 = 2x$. Divide both sides by 2: $x=\frac{10}{2}=5$.

Answer:

$x = 5$