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variable. 7. he labeled angles in each exercise. 10. exercise 7

Question

variable.
7.
he labeled angles in each exercise.

  1. exercise 7

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $2x = 76$.

Step2: Solve for $x$

Divide both sides of the equation $2x = 76$ by 2. We get $x=\frac{76}{2}=38$.

Step3: Use linear - pair property

The sum of angles in a linear pair is $180^{\circ}$. So, $y + 76=180$.

Step4: Solve for $y$

Subtract 76 from both sides of the equation $y + 76=180$. We get $y=180 - 76 = 104$.

Answer:

$x = 38$, $y = 104$