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3 years ago

Pls help me -geometry-

Mathematics

2 answers:

DENIUS [597]3 years ago

6 0

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

3. (Solving)

$7r + 6= 8r - 8$
$7r + 6 - 8r = 8r - 8 - 8r$
$-r + 6 = -8$
$-r + 6 - 6 = -8-6$
$-r = -14$
$\frac{-r}{-1} = \frac{-14}{-1}$
$r = 14$

Therefore, r = 14.

polet [3.4K]3 years ago

4 0

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.

$(7r+6)^{\circ}=(8r-8)^{\circ}\\7r-8r=-8-6\\-r=-14\\r=14$

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