Question

which statement describes the relationship between \\( \angle a \\) and \\( \angle b \\)? select the correct answer. \\( \angle a<\angle b \\) \\( \angle a\
eq\angle b \\) \\( \angle a>\angle b \\) \\( \angle a\equiv\angle b \\)

Explanation:

Step1: Recall the exterior angle theorem

An exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. Here, \(\angle B\) is an exterior angle of the triangle with \(\angle A\) as one of the non - adjacent interior angles. So, \(\angle B=\angle A +\) another non - adjacent interior angle.

Answer:

\(\angle A<\angle B\)