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3 years ago

6. m21 = 3 mZ2 = 470 m3 = N 5 52 m24 = mZ5 = #6

Mathematics

1 answer:

deff fn [24]3 years ago

5 0

9514 1404 393

Answer:

128°
52°
47°
133°
81°

Step-by-step explanation:

Alternate interior angles are congruent, so you know ...

∠2 = 52°

∠3 = 47°

The sum of angles in a triangle is 180°, so ...

∠5 = 180° -∠2 -∠3 = 180° -52° -47°

∠5 = 81°

Linear pairs are supplementary, so ...

∠1 = 180° -∠2 = 180° -52°

∠1 = 128°

∠4 = 180° -∠3 = 180° -47°

∠4 = 133°

_____

<em>Alternate solution</em>

To find angles 1 and 4, you could also make use of the fact that same-side interior angles are supplementary.

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