contestada

In the following diagram,
A
∥
B
.




Use complete sentences to explain how the special angles created by the intersection of
A
and
B
by
D
can be used to solve for
x
.
Solve for
x
, showing all of your work.
Find the measure of
∠
6
.

Respuesta :

Answer:

x=24

<6=79°

Step-by-step explanation:

We can see that if we add 3x+7 and 4x+5, it will total a 180-degree angle.  This allows us to solve for x. 3x+7+4x+5=180 7x+12=180 7x=180-12 7x=168 x=24 We can also see that angle six is the same as the angle 3x+7.  Since we know x=24, we can solve for those angles. 3(24)+7= 72+7=79 So <6=79 degrees

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