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Find missing angles in quadrilaterals
The sum of the measures of the angles of a quadrilateral is 360º.
x+y+z+w=360º
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Find the value of x in the quadrilateral
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Since the sum of the angle measures in a quadrilateral is 360º, x+65+85+90=360
x + 65 + 85 + 90
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360 |
Write the equation
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x + 240
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360 |
Add 65, 85, and 90
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x+240-240
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360-240 |
Subtract 240 from each side
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x
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120 |
Simplify
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So, the value of x is 120º.
Find the value of x in the quadrilateral
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Since the sum of the angle measures in a quadrilateral is 360º, x+106+131+67=360
x + 106 + 131 + 67
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360 |
Write the equation
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x + 304
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360 |
Add 106, 131, and 67
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x+304-304
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360-304 |
Subtract 304 from each side
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x
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= |
56 |
Simplify
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So, the value of x is 56º.
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