Respuesta :

64° because the equation would be everything added equal to 360 so 180+90+26+x=360 so when you solve 296+x=360 , then you subtract 297 from both sides so you end up with x=64

Answer: x=64°

Step-by-step explanation:

According to the diagram, the two intersecting lines are perpendicular. That means each part is 90°. Since the left side is labelled to be 180°, we know that the sum of the right side is also 180°.

26+x+90=180            [combine like terms]

116+x=180                  [subtract both sides by 116]      

x=64°

Now, we know that x=64°.

On the other hand, we can see that 26+x=90. We can also use that to solve for x.

26+x=90                    [subtract both sides by 26]

x=64°

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