Answer and Step-by-step explanation:
In a polygon, when a shape is similar but dilated, the angles are still congruent.
Also, turn the pentagon QRSTP counterclockwise 90 degrees so it is upright and looks like pentagon ABCDE (making it easier to read).
A. The measure of angle P is 124 degrees, as it matches up with angle E.
B. To find the length of side r, we need to find the scale factor. We do this by looking at the given side on pentagon QRSTP (side RS) and match it with its similar side of pentagon ABCDE (side BC)
To find the scale factor, you divide the side of the bigger shape by the side of the smaller shape. For us, this results in the scale factor being 2.
Now, the similar side to r is side ED. We need to divide 7.5 by 2 to find r.
When doing so, we get r to be 3.75.
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