Question

Which triangle is similar to the right triangle by Angle-Angle similarity?

Answer 1

That answer is D because if you add all of the given angles together (90+54) then subtract it from 180 you get 36 which would be the missing angle on the bottom corner and it is the same angle as the other triangle

Answer 2

Answer: The correct answer is D

Step-by-step explanation: The parameters for similarity has been identified as Angle-Angle similarity. In other words, two angles in both separate triangles should have the same measurement.

From the triangle in the question, the bottom right angle measures 36°. Being a right angled triangle, the bottom left angle measures 90° and the third angle would be derived as follows;

X + 36 + 90 = 180 { Sum of angles in a triangle equals 180}

X + 126 = 180

Subtract 126 from both sides of the equation

X = 54°

So the top angle measures 54°

Looking at the options, in option D the top angle measures 54° and the bottom left angle is a right angle which is 90°. This is the one that satisfies the Angle-Angle criteria.