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Kitty [74]
3 years ago
7

Find the value of x that will make A||B Thanks for helping. :)

Mathematics
2 answers:
Allisa [31]3 years ago
7 0

Answer:

x = 20

Step-by-step explanation:

The converse of the same side exterior angles theorem states that <em>when two same side exterior angles are supplementary, the two lines they are on are parallel</em>.

So that means that<em> 5x + 9 and 3x + 11 are supplementary</em>.

Therefore, <em>5x + 9 + 3x + 11 = 180</em>.

Add like terms: 8x + 20 = 180

Subtract: 8x = 160

Divide: x = 20

DedPeter [7]3 years ago
6 0

Answer:

*To be honest, we have a bunch of ways to find x, but I'm only going to use one.

So in order for A║B, we need the outer angle of these two lines but on the opposite sides to be equal, which means:

   5x + 9 = 180 - (3x + 11)

⇔ 5x + 3x = 180 - 9 - 11

⇔ 8x         = 160

⇔ x            = 160/8 = 20

So x is equal to 20.

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