Question

If AABC = ADEC,ZC = 55°, ZD = 65°, and ZB = 2xDC сBEx= [?]

Answer 1

Angle ABC = DEC

angle C = 55 degrees

angle B = 2x

angle D = 65 degrees

Angle on a straight line = 180 degrees

2x + 55 + 65 = 180

isolate 2x

2x + 120 = 180

2x = 180 -120

2x = 60

divide both sides by 2

2x/2 = 60/2

x = 30 degrees