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Question

Find the numerical value of xo from the diagram given below.
187771.jpg

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Solution

Given: AC=AD, AD=BD, BAM=75
In ADC,
AD=CD
ADC=ACD=x (Isosceles triangle property)
In ABD,
DBA=DAB=y
Also, DBA+DAB=ADC (Exterior angle property)
y+y=x
y=x2
Now, In ABC,
BAM=ABC+ACB (Exterior angle property)
75=x+x2
75=3x2
x=50
207705_187771_ans.png

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