find the values of x,y and z
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65,30 and 150
Step-by-step explanation:
ac || bd and ab is the transverse
<cab + <abd = 180 (co-interior angles)
115 + x = 180
x = 180-115 = 65
x + y+ 85 = 180 (sum of all the angles on a straight line)
65 + y+ 85 = 180
y = 180-65-85 = 30
<cae = <x +<y (corresponding angles , ac||db and ae || bf so angles formed between them will always same)
<cae = <x +<y
<cae = 65+30 = 95
<cab + <cae + z = 360 (complete angle)
115 + 95 + z = 360
z = 360-95-115 = 150
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