Question

find X and Y in the following figure​

Answer 1

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

Answer 2

Answer:

x=60°

Y=90°

Step-by-step explanation:

ok bruh