a) ABCD is a rectangle. Find the values of x and y.
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hi
YOUR ANSWER IS:
X=55°
Y=110°
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Step-by-step explanation:
∠DBC =35°
∠DCA = X
∠AOD = Y
∠DBC + ∠DBA =90°
35°+A =90°
A= 90°-35°=55°
∴∠ACB=35° (INTERIOR ADJECENT ANGLES)
∠DCA=55°
∠DBC + ∠ACB + ∠BOC = 180°
35 + 35 + Z = 180°
70° + Z = 180°
Z = 180° - 70°
Z = 110°
∴∠AOD =∠BOC= 110° (VERTICALLY OPPOSITE ANGLES)
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