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