Respuesta :

wegnerkolmp2741o

Answer:

42

Step-by-step explanation:

ABC + CBD = ABD

3x+33 + 5x+13 = 70

Combine like terms

8x +46 = 70

Subtract 46 from each side

8x+46-46 = 70-46

8x = 24

Divide each side by 8

8x/8 = 24/8

x=3

We want to find ABC

ABC = 3x+33 = 3*3 +33 = 9+33 = 42

Answer:

[tex]m\angle ABC+\angle CBD=m\angle ABD[/tex]

[tex]\longrightarrow (3x+33)+(5x+13)=70[/tex]

[tex]\hookrightarrow 8x+46=70[/tex]

[tex]\hookrightarrow 8x=70-46[/tex]

[tex]\hookrightarrow 8x=24[/tex]

[tex]\hookrightarrow x=24/8=3[/tex]

[tex]so, m\angle ABC=3(3)+33=42[/tex]

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Hope it helps...

Have a great day!!

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