The angle that is congruent to <CBA is the angle formed by <CDA, therefore, the second option is correct.
When we study angles and shapes, we are studying Geometry. In Geometry, two different angles are congruent with one another, when one shares certain aspects with the angle it is being compared to. These aspects are:
- Shape
- Size
When both of these are equal for the two angles, we can say that those angles are congruent.
For this question, we can look for the angle that most perfectly resembles the <CBA angle. Symmetry is often a hint that can help us find the congruent angle, as it is for this question.
We can see that the shape in the image is symmetrical on its top and bottom halves, and when we look at the bottom half we see that angle <CDA has the same shape and size as angle <CBA.
Meanwhile, the angles <BCD and <BAD do not resemble <CBA in size or shape, so options 1 and 4 are incorrect. Option 3 shows the angle <ABC, this angle is the same as <CBA becuase it is made from the same points (A, B, and C). Since they are the same angle, we do not have two angles to compare, therefore option 3 is incorrect.
Angle <CDA is congruent to angle <CBA because it has the same shape and size.
For more help with congruent angles visit:
https://brainly.com/question/15767203?referrer=searchResults
