To write: the name of the postulate, that justifies the given statement. Given information:In /_AVB and /_NVK, /_A=/_N=60^(circ). The given figure is as follows: 12210203041.jpg

To write: the name of the postulate, that justifies the given statement.
Given information:In $\mathrm{△}AVB\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}\mathrm{△}NVK,\mathrm{\angle }A=\mathrm{\angle }N={60}^{\circ }$.
The given figure is as follows:
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Derrick
Angle-Angle similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.
In $\mathrm{△}AVB\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}\mathrm{△}NVK$,
$\mathrm{\angle }A=\mathrm{\angle }N\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}\mathrm{\angle }V$ is common angle
So, $\mathrm{△}AVB\sim \mathrm{△}NVK$ by Angle-Angle similarity theorem.
Hence,the theorem that justifies the given statement is Angle-Angle similarity theorem.