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Murljashka [212]
3 years ago
11

How would I prove this

Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer:

∠1 ≅ ∠2 by the Alternate Interior Angles Theorem

m∠3 = 130° due to the Congruent Supplements Theorem

Step-by-step explanation:

The Alternate Interior Angles Theorem State that if two parallel lines are split by a transversal, then the pairs of alternate interior angles are congruent.

In this case, the measure of ∠1 is equal to 180° - m∠3 due to the Congruent Supplements Theorem. So, m∠1 is equal to 50°, which also means m∠2 is also 50°.

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Step-by-step explanation:

In order to calculate the area of a sector for which we have an angle in radians, we need to apply a rule of three in such a way that pi*r² is related to 2*pi radians in the same proportion as the given angle is related to the area of the sector we want to find. This is shown below:

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