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Quadrilaterals & Angles of Polygons
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For what value of x will quadrilateral QUAD be a rhombus?
3x+36 = 90; x = 18
Given parallelogram STUR, solve for x.
2x+15 = x+15 ; x = 0
Given parallelogram LMJK, solve for x.
2(50x)+2(130x)=360; x = 1
Given parallelogram WXUV, solve for x.
x + 1 = 7; x = 6
Given parallogram JKLM and that KM = 23.4, find the length of YM.
(diagonals bisect each other) 23.4/2 = 11.7
Given parallelogram YVWX, find m∠VXW.
x+60+52=180; x = 68
Given the figure is a parallelogram, find the measure of angle D.
m∠D = 110
Given the figure is a parallelogram, find the measure of angle R.
m∠R=135
Find the value of x.
(add all & set equal to 360) x = 13
Find the value of x.
((8-2)*180)/8 = 135 ... 16x+23=135 ... x = 7
Find the value of x.
Sum = 540, then x = 18
Find the value of x.
Sum = 900, then x = 121
What is the measure of each exterior angle of a regular decagon?
360/10 = 36°
What is the sum of the exterior angles of a 25-gon?
Sum of exterior is ALWAYS 360°
What is the measure of each interior angle of a regular decagon?
((10-2)*180)/10 = 144°
If the sum of the measures of a polygon is 1800°, how many sides does it have?
1800=(n-2)*180 ... n = 12
What is the sum of the measures of the interior angles of a 19-gon?
S = (19 - 2) * 180 = 3060°
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