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Given: BC bisects ZABD
mZABD = 52°
Prove: mABC = 26°
A
D
B
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Statements Reasons
mZABD = 52
mZABC+ m ZABC = 52
Statements
mZABC=mZCBD
m/ABC+mZC=52
Reasons
BC bisects ZABD
mZABC+mZCBD =
m ZABD

Given BC Bisects ZABD MZABD 52 Prove MABC 26 A D B Assemble The Proof By Dragging Tiles To The Statements And Reasons Columns Statements Reasons MZABD 52 MZABC class=

Sagot :

Olayemiolakunle65idn

A bisector is a line that divides a given line or angle into two equal parts or measures. So that the required statements and reasons are given below:

              STATEMENT                                                 REASONS

1. BC bisects <ABD                                 Given

2. m<ABC = [tex]26^{o}[/tex]                                       Bisection property of an angle

3. 2(m<ABC) = [tex]52^{o}[/tex]                                   Sum of angles of a bisected angle

4. m<ABC = m<CBD                                Congruent parts of a bisected angle

5. <mABC + m<ABC =  [tex]52^{o}[/tex]     Sum of an individual angle of a bisected angle

6.  m<ABC + m<CBD = [tex]52^{o}[/tex]                      Sum of angles of a bisected angle

7. m<ABC + m<CBD = m<ABD          Sum of the angles of a bisected angle

The above statements and reasons are majorly centered on a bisector, the angles formed due to the bisection of a given angle, and the bisected angle.

For more clarifications on the bisection of an angle, visit: https://brainly.com/question/5799105

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