Question

Given: Ray BC bisects angle ABD.

Which pair of angles must be congruent?
A) ∠ABD & ∠EBD
B) ∠ABC & ∠DBE
C) ∠ABC & ∠DBC
D) ∠ABD & ∠CBDill mark brainliest if correct and give 50 pts.

Answer 1

Congruent is the same size and same shape. When a ray bisects an angle, the two newly created angles will be congruent, since the ray went right in the middle of the first angle (so in this case, ABC and DBC will be congruent)

Answer 2

Answer: C) ∠ABC & ∠DBC

Step-by-step explanation:

When a ray bisect an angle , then it divided the original angle into two congruent angles.

We are given that Ray BC bisects angle ABD.

Then, Ray BC divides ∠ABD into two congruent angles.

From the picture, The angle formed by it : ∠ABC & ∠DBC

So  ∠ABC & ∠DBC must be congruent.

Hence, the pair of angles must be congruent : ∠ABC & ∠DBC