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ira [324]
3 years ago
15

HELP PLEASE 30 POINTSSSS

Mathematics
1 answer:
Julli [10]3 years ago
8 0

Answer:

The answer to your question is:  ∠4 = 140°

Step-by-step explanation:

If there are two parallel lines cut by a transversal line 8 angles are formed.

These angles are classified as corresponding angles, alternate exterior angles, alternate interior angles and same-side angles.

Alternate exterior angles measure the same. Also alternate interior angles measure the same.

Same-side angles are supplementary angles, that means that their sum gives 180°.

Finally corresponding angles measure the same.

In the figure we notice that angles 6 and 8 are same side angles, so:

                                    ∠6 + ∠8 = 180

and ∠6 = 40°               40 + ∠8 = 180

                                   ∠8 = 180 - 40

                                   ∠8 = 140°

and ∠4 and ∠8 are corresponding angles so,

                       ∠4 = ∠8 = 140°

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