The given ΔBES and ΔGES are similar triangles according to the AA similarity postulate or theorem. Option A true.
What is the AA similarity postulate or theorem?
The AA similarity postulate is that " If any two triangles have a pair of angles with equal measures then they are said to be similar triangles". If two angles are equal then the third one will also be equal in both the triangles.
Checking similarity in both the triangles:
The given triangles are ΔBES and ΔGES
The ΔBES has dimensions as ∠BES=40° and ∠ESB=90° and the ΔGES has dimensions as ∠GES=40° and ∠ESG=90°
Thus, both the triangles have pair of angles with equal measures. I.e., ∠BES=∠GES=40° and ∠ESB=∠ESG=90°. So, they satisfy the AA similarity theorem.
Hence, the given triangles are said to be similar according to the AA similarity postulate or theorem. So, option A is true.
Learn more about similarity postulates here:
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