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x = ___ y = ___ 1. solve the equation & show your work solving it. 6. 7…

Question

x = _ y = _

  1. solve the equation & show your work solving it.

6.
70° (4 + 2x)°

Explanation:

Step1: Use linear - pair property

The two angles \(70^{\circ}\) and \((4 + 2x)^{\circ}\) form a linear - pair. The sum of angles in a linear - pair is \(180^{\circ}\). So, we set up the equation \(70+(4 + 2x)=180\).
\[70+4 + 2x=180\]
\[74+2x=180\]

Step2: Solve for \(x\)

Subtract 74 from both sides of the equation: \(2x=180 - 74\).
\[2x=106\]
Divide both sides by 2: \(x = 53\).

Answer:

\(x = 53\)