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set up an equation for your exterior angle, then use multi-step equation steps to solve for y.A. 15B. 17.4C. 5D. 10

Set Up An Equation For Your Exterior Angle Then Use Multistep Equation Steps To Solve For YA 15B 174C 5D 10 class=

Sagot :

In any triangle, the sum of the interior angles of two vertices is equal to the exterior angle of the other vertex.

Using this property, we can write the following equation:

[tex]\begin{gathered} \text{ABC+BAC=ACD}_{} \\ (4y+8)+(5y+3)=146 \\ 9y+11=146 \\ 9y=146-11 \\ 9y=135 \\ y=\frac{135}{9} \\ y=15 \end{gathered}[/tex]

The value of y is equal to 15, therefore the correct option is A.

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