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Grade: 9

                        

In ∆ ABC, AD is the median .If AD produced to F, AC produced E ,angle DCE = 3 /2 angle CDF and angle DAC is equal to 20°,then find angle BDA

2 years ago

Answers : (1)

sreeda
11 Points
							
let angle CDF = x° 
then angle ADC = 180 – x (because its linear pair)
also its given angle DCE = 3/2 angle CDF
                                         = 3/2 x
angle DCE = angle ADC + angle DAC (because exterior angle is equal to sum of interior opposite angles)
3/2 x = (180-x) +20
3/2x + x = 200
5/2x = 200
x = 80 ie angle CDF = 80
angle BDA = angle CDF ( vertically opposite angle)
therefore  angle BDA = 80
 
 
2 years ago
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