SAT数学Problem Solving练习题(38)
- 2017年07月27日13:54 来源:互联网
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Question 38: 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
(a) 20o
(b) 30o
(c) 40o
(d) 50o
(e) 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