Question

15 7 + m 15 18 o d c in gure, if quadrilateral abcd is a parallelogram, what must be the value of m?

Explanation:

Step1: Use the property of parallelogram diagonals

In a parallelogram, the diagonals bisect each other. So, \(AO = OC\) and \(DO = OB\). Here, we focus on the relationship for the segments involving \(m\). The diagonals are split into parts such that \(18 = 7 + m\).

Step2: Solve the equation for \(m\)

Subtract \(7\) from both sides of the equation \(18=7 + m\). We get \(m=18 - 7\).

Answer:

\(m = 11\)