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2C and ZD are vertical angles with mzC= -2.1 +90 and mZD=x - 30. What is mZD?

Sagot :

We know that angles ZC and ZD are vertical angles, this means they are equivalent by definition.

[tex]m\angle ZC=m\angle ZD[/tex]

Replacing the given expressions-

[tex]-2.1+90=x-30[/tex]

First, we have to reduce like terms

[tex]87.9=x-30[/tex]

Now, we sum 30 on each side

[tex]\begin{gathered} 87.9+30=x-30+30 \\ 117.9=x \end{gathered}[/tex]

We use this value to find angle ZD.

[tex]m\angle ZD=x-30=117.9-30=87.9[/tex]

Therefore, angle ZD is equal to 87.9°

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