Find x and y in the following figure
Asked by admin @ in Math viewed by 310 People
Find X and Y in the following figure
Answered by admin @
Answer:
x = 60 , y= 90
Step-by-step explanation:
we know that some of all the angles inside a triangle is 180 degrees
consider triangle ACB
sum of angles = angle ACB + angle CBA + angle BAC =180 degrees
=> angle ACB + 30 degrees + 30 degrees =180 degrees
=> angle ACB = 120 degrees
consider straight line DCB
we know that the angle of a straight line is 180 degrees
therefore angle DCE + angle ACB =180 degrees
=> angle DCE + 120 degrees = 180 degrees
=> angle DCE = 60 degrees
consider triangle DEC
sum of angles = angle DEC + angle DCE + angle CDE =180 degrees
=> angle DEC + 60 degrees + 30 degrees =180 degrees
=> angle DEC = 90 degrees
consider straight line CEA
angle DEC + angle DEA = 180 degrees
90 degrees + angle DEA = 180 degrees
=> angle DEA = 90 degrees
so angle DCE = X = 60 degrees
angle DEA =Y = 90 degrees
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