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MAXImum [283]
2 years ago
6

Please explain how to solve this:

Mathematics
1 answer:
Scorpion4ik [409]2 years ago
7 0

Answer:

x = 47

Step-by-step explanation:

Because the lines are parallel, we know that some angles are the same, see the images attached. That means that A and B in the image are the same angles. So we know that angle A totals to 78 degrees. And the angle outside the triangle is 35. So the angle inside the triangle is

78 - 35 = 43.

The interior angles of a triangle add up to 180. We know that one angle is 43 and another angle is 90 because of the indicating square angle marker. That means that

43 + 90 + x = 180.

Then we can simplify the equation:

133 + x = 180⇒

x = 180 - 133⇒

x = 47

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