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Quadrilaterals & Angles of Polygons

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    Quadrilaterals, Quadrilaterals Diagonals, Angles of Polygons
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  • What is the sum of the measures of the interior angles of a 19-gon?
    S = (19 - 2) * 180 = 3060°
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  • If the sum of the measures of a polygon is 1800°, how many sides does it have?
    1800=(n-2)*180 ... n = 12
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  • What is the measure of each interior angle of a regular decagon?
    ((10-2)*180)/10 = 144°
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  • What is the sum of the exterior angles of a 25-gon?
    Sum of exterior is ALWAYS 360°
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  • What is the measure of each exterior angle of a regular decagon?
    360/10 = 36°
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  • Find the value of x.
    Sum = 900, then x = 121
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  • Find the value of x.
    Sum = 540, then x = 18
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  • Find the value of x.
    ((8-2)*180)/8 = 135 ... 16x+23=135 ... x = 7
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  • Find the value of x.
    (add all & set equal to 360) x = 13
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  • Given the figure is a parallelogram, find the measure of angle R.
    m∠R=135
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  • Given the figure is a parallelogram, find the measure of angle D.
    m∠D = 110
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  • Given parallelogram YVWX, find m∠VXW.
    x+60+52=180; x = 68
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  • Given parallogram JKLM and that KM = 23.4, find the length of YM.
    (diagonals bisect each other) 23.4/2 = 11.7
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  • Given parallelogram WXUV, solve for x.
    x + 1 = 7; x = 6
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  • Given parallelogram LMJK, solve for x.
    2(50x)+2(130x)=360; x = 1
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  • Given parallelogram STUR, solve for x.
    2x+15 = x+15 ; x = 0
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