Question

if mnop is a rectangle, and m∠mon = 60°, what is

Explanation:

Step1: Recall rectangle properties

In rectangle \(MNOP\), diagonals \(MP\) and \(NO\) are equal and bisect each other, i.e., \(MO = NO\).

Step2: Analyze \(\triangle MON\)

Since \(MO = NO\) and \(\angle MON=60^{\circ}\), \(\triangle MON\) is an equilateral triangle.

Step3: Find the required angle

\(\angle MOP\) and \(\angle MON\) are supplementary. Let the required angle be \(x\). We know that \(x + 60^{\circ}=180^{\circ}\), so \(x = 120^{\circ}\).

Answer:

E. 120