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s344n2d4d5
3 months ago
9

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

Mathematics
2 answers:
PIT_PIT [12.4K]3 months ago
5 0

m<ABD = 52 Provided

BC bisects <ABD Provided

m<ABC = m<CBD By the angle bisector definition.

m<ABC + m<CBD = m<ABD According to the angle addition postulate.

m<ABC + m<CBD = 52 By substitution

m<ABC + m<ABC = 52 By substitution

2m<ABC = 52 Combining like terms

m<ABC = 26 By the division property of equality.

babunello [11.8K]3 months ago
3 0

Answer:

Step-by-step explanation:

m<ABD = 52 Provided

BC bisects <ABD Provided

m<ABC = m<CBD By the definition of an angle bisector.

m<ABC + m<CBD = m<ABD According to the angle addition postulate.

m<ABC + m<CBD = 52 By substitution

m<ABC + m<ABC = 52 By substitution

2m<ABC = 52 Combining similar angles

2(m<ABC) = 52 Addition

m<ABC = 26 By the division property

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