Question

these figures are congruent. what is np?
□ inches
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Explanation:

Step1: Match congruent triangle parts

Identify corresponding angles: $\angle N = \angle T = 43^\circ$, $\angle O = \angle V = 78^\circ$, so $\angle P = \angle U = 59^\circ$. Thus, $\triangle NOP \cong \triangle TVU$.

Step2: Find corresponding side to NP

Side $NP$ is opposite $\angle O$; in $\triangle TVU$, the side opposite $\angle V$ is $VU$.

Step3: Assign congruent side length

Since congruent triangles have equal corresponding sides, $NP = VU$.

Answer:

35 inches