If m∠MLN = 60°, what is the measurement of ∠KLO?
What relationship do ∠KLO and ∠MLN have?
m∠KLO = 60°
Which lines, if any, are perpendicular?
Most people think of perpendicular lines as the opposite of parallel.
The two perpendicular lines are PQ (also PO or OQ) and KR (also KO or OR) because they form a right angle (∠KOQ).
Is ∠LOQ an obtuse, right, or acute angle? How do you know?
What defines an obtuse, right, or acute angle?
Obtuse angles are angles with measurements greater than 90°. We know ∠LOQ is an obtuse angle because it contains within it ∠KOQ, which is already a right angle.
What is the measurement of ∠POR?
Think "vertical angles," yo.
m∠POR = 90°
Is ∠LOK an obtuse, right, or acute angle?
Compare it to that right angle nearby. Is it bigger, smaller, or the same?
Boom: ∠LOK is an acute angle because it's less than 90°.
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