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Sagot :
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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