Explain why the equation 4x + 5 = 4x - 1 has no solutions.
2 answers:
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Based on the given diagram we see that all the exterior angle is in a straight line with the interior angle.
Using the known angle measure, we know that the shape has angles of measure, 123 degrees, 94 degrees, 79 degrees, and '180 - x' degrees
Also, the sum of all the angles in a quadrilateral, any four-sided shape, is 360 degrees.
Now using the knowledge gained lets set up the equation
Therefore x is 116 degrees.
Hope that helps!