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Today at 9:23 AM
Mathematics

Answered

m ABD = 10x - 7 and m2DBC = 3x + 5. What is the numerical value of m_ABD?
D
1
B

Answer :

tramserran tramserran

Today at 9:28 AM

Answer: 71/7

Step-by-step explanation:

No picture is provided so I am assuming that BD is an angle bisector.

1. ∠ABD=10x-7, ∠DBC=3x+5 Given

2. ∠ABD = ∠DBC Definition of angle bisector

3. 10x-7 = 3x+5 Substitution

4. 7x - 7 = 5 Subtraction Property of Equality

5. 7x = 12 Addition Property of Equality

6. x = 12/7 Division Property of Equality

7. ∠ABD = 10(12/7) - 7 Substitution

8. ∠ABD = 71/7 Adding like terms

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