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Step-by-step explanation:
ACD=110°
ACB+ACD=180°
ACB+110°=180°
ACB=180°-110°
ACB=70°
therefore z =70°
given: x:y=5:6
therefore , x=5x and y =6x
x+y+z=180°(sum of all angles)
5x+6x+70°=180°
5x+6x=180°-70°
11x=110
x=110/11
x=10
therefore,
X=5X= 5x10=50
y=6x = 6x10 =60
therefore ,
x=50°
y=60°
z=70°
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