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I need help with what equals 8

I need help with what equals 8-example-1

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Explanation:

what equals 8 ?????

what do you mean by that ? there is no 8 in the graph.

I can answer the question in the picture :

there are 2 parallel lines (l and m) intersected by 2 other lines with corresponding intersection angles.

the easiest to see is the intersection angle of 33°, as it involves only one intersecting line.

per rules of intersecting lines, the angles on both sides of the intersected line are equal, just left-right mirrored.

and the angles with parallel lines must be equal, as parallel lines imitate exactly each other's behavior.

that means the angle left of the 80° angle must be 33° too.

and now, the sum of all angles around a single point on one side of a line must be 180°, because that simulates a half-circle (a full circle = 360°, a half-circle = 180°).

so,

180 = 33 + 80 + x

67° = x

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