Question

practice d:
if lp = 9, find mp.
after you enter your answer press go.
mp =

Explanation:

Step1: Use the property of alternate - interior angles

Since \(LM\parallel KN\), \(\angle LPK=\angle ML P\) (alternate - interior angles) and \(\angle MPN=\angle PML\) (alternate - interior angles). Given \(\angle LPK = \angle MPN=u^{\circ}\), then \(\angle ML P=\angle PML\).

Step2: Use the property of isosceles triangle

In \(\triangle LPM\), because \(\angle ML P=\angle PML\), so \(\triangle LPM\) is an isosceles triangle. In an isosceles triangle, the sides opposite equal angles are equal. So \(MP = LP\).

Answer:

\(9\)