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zhenek [66]
1 year ago
6

I need 5-8 done Complete the statements and explain why

Mathematics
1 answer:
Anna11 [10]1 year ago
8 0

The completed statements are:

5. If the measure of ∠1 = 160°, then the measure of ∠5 = 160°.

The reason is the corresponding angles theorem, which asserts that "when a line intersects two parallel lines, the corresponding angles in the two intersection regions are congruent."

6. If the measure of ∠6 = 37°, then the measure of ∠4 = 37°.

The Vertical Angles Theorem, that states the angles that are vertically created by two crossing straight lines, are congruent.

7. If the measure of ∠8 = 82°, then the measure of ∠3 = 98°.

By the Same Side Interior Angles Theorem, when a transversal connects two parallel lines, the interior angles on the same side are supplementary.

∠8 + ∠5 = 180°

∠5 = 180° - 82° = 98°

And by Vertical Angles Theorem,

∠5 = ∠3 = 98°

8. If the measure of ∠4 = 60°, then the measure of ∠5 = 120°.

The total of angles on a straight line is 180°.

∠4 + ∠5 = 180°

∠5 = 180° - 60°

∠5 = 120°

To learn more about angles visit:

brainly.com/question/18726445

#SPJ13

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