Question

What can you conclude from the diagram

Answer 1

Answer:

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

Step-by-step 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