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PSYCHO15rus [73]
3 years ago
6

What is m<9 = 130 degrees, What is m<4

Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

Answer:

50 degrees

Step-by-step explanation:

They are alternate exterior angles, so they add up to 180 degrees.

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Answer:

Givens:

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Using this information we could recur to SAS postulate to demonstrate the congruence of this pair of triangles. We already have one side and one angle congruent, we just need to demonstrate that AC \cong DF, that will prove the complete congruence.

So, based on the given coordinates, we're able to calculate the length of each side and find if they are the same. We use this formula:

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\d_{AC} =\sqrt{(0-(-2))^{2}+(3-2)^{2}}=\sqrt{4+1}=\sqrt{5}\\\\\d_{DF} =\sqrt{(0-2)^{2}+(2-1)^{2}}=\sqrt{4+1}=\sqrt{5}

Therefore, AC \cong DF, because they have the same length.

Now, based on these congruences:

  • BC \cong EF
  • \angle C \cong \angle F
  • AC \cong DF

We demonstrate by the Side-Angle-Side (SAS) postulate that ΔABC ≅ ΔDEF.

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Step-by-step explanation:

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Step-by-step explanation:

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