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Lines A and B are parallel lines cut by transversal F. If m∠1=110 degrees, what is m∠4?

(a) 70 degrees
(b) 80 degrees
(c) 90 degrees
(d) 110 degrees

User Gbtimmon
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1 Answer

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Final answer:

In geometry, when parallel lines are cut by a transversal, corresponding angles are congruent. So, if m∠1 is 110 degrees, then m∠4 is also 110 degrees since they're corresponding angles.

Step-by-step explanation:

The subject of this question is Mathematics, specifically dealing with geometry and the properties of parallel lines cut by a transversal. When lines A and B are parallel and are cut by a transversal F, corresponding angles are congruent due to the Corresponding Angles Postulate. If angle 1 measures 110 degrees, then angle 4, being a corresponding angle to angle 1, will also measure 110 degrees because they are in the same position relative to the parallel lines and the transversal. Therefore, the correct answer is (d) 110 degrees.

User Calvin Jia
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