Answer:
∠CBE is the angle which is equal to the sum of the measures of ∠BAC and ∠BCA.
Step-by-step explanation:
Given two angles ∠BAC and ∠BCA in ΔABC
we have to choose the angle which is equal to the sum of the measure of ∠BAC and ∠BCA.
An exterior angle of a triangle forms a linear pair with the adjacent interior angle. The two non-adjacent interior angles to the exterior angle are its remote interior angles
As shown in attachment, ∠CBE is the only angle which is the exterior angle to remote interior angles.
By exterior angle theorem
The measure of the exterior angle of a triangle is equal to the sum of the measure sf its interior angles.
⇒ ∠CBE = ∠BAC + ∠BCA
Hence, ∠CBE is the angle which is equal to the sum of the measures of ∠BAC and ∠BCA.
∴ Option B is correct
