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Lines L and M are parallel find the measure of angle 7

No links please Lines L and M are parallel find the measure of angle 7-example-1
User Defoo
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Link l = m = parallel
User Dule
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9514 1404 393

Answer:

∠7 = 142°

Explanation:

Angle 7 and the one marked 38° form a linear pair. The fact that line L exists and is parallel to line M is irrelevant to this question. Angles of a linear pair are supplementary, so ...

∠7 = 180° -38° = 142°

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Additional comment

Because lines L and M are parallel, all of the obtuse angles in this geometry have the same measure as angle 7. Likewise, all of the acute angles are congruent to 38°.

∠1 = ∠3 = ∠5 = ∠7 = 142°

∠2 = ∠4 = ∠6 = 38°

User Chris Zelenak
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