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Answer :

Renkneego

Answer:

r = 14

Step-by-step explanation:

1. Because the two angles are a pair of opposite angles formed by intersecting lines, they're vertical angles/congruent.

2. To find the value of r, we can write an equation of: [tex]7r + 6 = 8r - 8[/tex]

3. (Solving)

  • [tex]7r + 6= 8r - 8[/tex]
  • [tex]7r + 6 - 8r = 8r - 8 - 8r[/tex]
  • [tex]-r + 6 = -8[/tex]
  • [tex]-r + 6 - 6 = -8-6[/tex]
  • [tex]-r = -14[/tex]
  • [tex]\frac{-r}{-1} = \frac{-14}{-1}[/tex]
  • [tex]r = 14[/tex]

Therefore, r = 14.

Answer:

The value of r is 14.

Step-by-step explanation:

Vertical angles are the angles formed when two lines intersect each other. The opposite angles formed by these lines are called vertically opposite angles.

[tex](7r+6)^{\circ}=(8r-8)^{\circ}\\7r-8r=-8-6\\-r=-14\\r=14[/tex]

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