Question

Assemble the proof by dragging tiles to the statements and reasons columns.

Given: bc bisects ABC
M Abc= 52
Prove m abc =26
Statements:
A) M ABC=52
B) M ABC= m CBD
C) BC bisects ABD
D) M ABC + m CBD = 52
E) M ABC + m CBD = m ABD
Reasons:
A) Given
B) Definition of bisector
C) Substitution property
D) Angle addition postulate

Answer 1

To prove that angle ABC is equal to 26 degrees using given information.

Step-by-step explanation:

The given information states that angle ABC is bisected by the segment BC and that angle ABC is equal to 52 degrees. We are required to prove that angle ABC is equal to 26 degrees.

1. Statement: Angle M ABC = 52 degrees (given)
2. Statement: Angle M ABC = Angle M CBD (angle bisector definition)
3. Statement: BC bisects angle ABD (given)
4. Statement: Angle M ABC + Angle M CBD = 52 degrees (sum of angles)
5. Reason: Given, Definition of bisector, Substitution property, Angle addition postulate.

Therefore, using the given statements and reasons, we can conclude that Angle ABC is equal to 26 degrees, as required.