Question

An equiangular $△PQR$ is ___________ to a $△LMN$ in which one angle is ${70}^{\circ }$. (Similar/ Not similar)

Answer 1

Determine if the given triangles are similar or not similar.

We know that two polygons are similar if,

1. Their corresponding angles are equal.
2. Their corresponding sides are in proportion.

Since $△PQR$ is equiangular, all the internal angles are similar and are ${60}^{\circ }$, but in $△LMN$, one of the angle is given as ${70}^{\circ }$.

Therefore, condition (a) fails and thus, the given triangles are not similar.