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精選SAT考試幾何部分常用公式

　　Angles Review

精選SAT考試幾何部分常用公式

　　Angle CMB = Angle AMD

　　Angle AMD + Angle CMA = 180o

　　Example of SAT question with angles:In the figure below, angle AMB is 100o, angle BMD is 40o and angle CME is 60o. What is the value of angle CMD?

　　Figure not drawn to scale

　　20o

　　30o

　　40o

　　50o

　　80o

　　Answer: If angle AMB is 100o, then angle BME is 180o - 100o = 80o

　　BMC + CMD = 40o

　　BMC + CMD + DME = 80o

　　If we subtract the 2 equations, DME = 40o

　　CMD + DME = 60o

　　BMC + CMD + DME = 80o

　　If we subtract the 2 equations, BMC = 20o

　　CMD = BME - BMC - DME = 80o - 40o - 20o = 20o

　　Parallel Lines Review

　　If the 2 horizontal lines are parallel,

　　- angles 1 = 3 = 5 = 7 and

　　- angles 2 = 4 = 6 = 8

　　Polygons Review

　　The sum of the measures of the interior angles of a triangle is 180.

　　a + b + c = 180o

　　The sum of the measures of the interior angles of a polygon is:

　　180o

　　n = number of sides of the polygon.

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