Question

Pls help me -geometry-

Answer 1

The value of r is 14.

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.

`(7r+6)^(\circ)=(8r-8)^(\circ)\\7r-8r=-8-6\\-r=-14\\r=14`

Answer 2

r = 14

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:
`7r + 6 = 8r - 8`

3. (Solving)

• 
  `7r + 6= 8r - 8`
• 
  `7r + 6 - 8r = 8r - 8 - 8r`
• 
  `-r + 6 = -8`
• 
  `-r + 6 - 6 = -8-6`
• 
  `-r = -14`
• 
  `(-r)/(-1) = (-14)/(-1)`
• 
  `r = 14`

Therefore, r = 14.