If quadrilateral JKLM is a parallelogram, what must be the value of x? (1 point) The value of x is . J 13, K 16 x, L 13 O M x + 15

Answer 1

In a parallelogram, opposite sides are equal in length. Thus, for quadrilateral JKLM, we can set up the following equations based on the side lengths given:

1. \( JK = LM \) which implies \( 16 = x + 15 \)
2. \( KL = JM \) which implies \( 13 = 13 \) (this is already equal)

Now, let's solve the first equation for \( x \):

\[ 16 = x + 15 \]

Subtracting 15 from both sides gives:

\[ 16 - 15 = x \] \[ x = 1 \]

Therefore, the value of \( x \) must be \( 1 \).