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What can you conclude from the diagram

What can you conclude from the diagram-example-1

1 Answer

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Answer:

You can conclude from the diagram that m∠P is less than m∠NA

Explanation:

  • In any triangle, you can arrange the lengths of the sides according to the measure of the opposite angles
  • In any triangle, you can arrange the measure of the angles according to the lengths of the opposite sides

Example:

In ΔABC, if the arrangement of the sides is AB < BC < CA, then the arrangement of the measures of the angles is m∠C < m∠A < m∠B

Let us use this fact to solve the question

→ In ΔKNP

KP = 8 units

KN = 6 units

∵ 6 < 8

KN < KP

∠P is opposite to the side KN

∠N is opposite to the side KP

∵ KN < KP

→ By using the fact above

m∠P < m∠N

∴ m∠P is less than m∠N

You can conclude from the diagram that m∠P is less than m∠N

User James Sharp
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