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Answer is p = 23 and q = 18.
To solve for p and q in square WXYZ, we'll use the properties of a square.
In a square, all angles are right angles, meaning they are [tex]\( 90^\circ \) each. So:[/tex]
[tex]\( W = 90^\circ \)\( X = 90^\circ \)\( Y = 90^\circ \)\( Z = 90^\circ \)[/tex]
Given that [tex]\( W = (4p - 2)^\circ \) and \( Z = 5q^\circ \)[/tex], we can equate them to \( 90^\circ \) each:
4p - 2 = 90
5q = 90
Let's solve these equations one by one:
For 4p - 2 = 90:
Add 2 to both sides:
4p = 92
Divide by 4:
[tex]\( p = \frac{92}{4} = 23 \)[/tex]
For 5q = 90:
Divide by 5:
[tex]\( q = \frac{90}{5} = 18 \)[/tex]
So, p = 23 and q = 18.
In square WXYZ, find p and q.
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