in the figure, triangle ADB=triangle CBD. if angle ABD=64 degrees, angle CBD=(3x+4)degrees, angle ABD=(y+10), angle CBD=47degrees, find the values of xand y
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Step-by-step explanation:
The external bisector of an angle of a triangle divides the opposite side externally in the ratio of the sides containing the angle.
By exterior angle bisector theorem
CE BE
= AC AB CE
BC+CC = AC ABx
12+x = 610x12+x
=35
36+3x=5x
36=2x
x=18
Hence CE=18cm
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