Question

find the measure of ∠mpo.

m∠mpo = \boxed{}°
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Explanation:

Step1: Identify Parallel Lines and Transversal

Lines \( KL \) and \( MN \) are parallel, and \( IJ \) is a transversal. So, alternate interior angles are equal. Thus, \( 65 - 2x = 8x - 5 \).

Step2: Solve for \( x \)

$$
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Step3: Find \( \angle MPO \)

Substitute \( x = 7 \) into \( 8x - 5 \):
\( 8(7) - 5 = 56 - 5 = 51 \).

Answer:

\( 51 \)