Question

What is the answer to this problem

Answer 1

`m\angle ABC+\angle CBD=m\angle ABD`

`\longrightarrow (3x+33)+(5x+13)=70`

`\hookrightarrow 8x+46=70`

`\hookrightarrow 8x=70-46`

`\hookrightarrow 8x=24`

`\hookrightarrow x=24/8=3`

`so, m\angle ABC=3(3)+33=42`

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Answer 2

42

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