In the given tigure, find the value of y.9003y

1.	In the given tigure, find the value of y.9003y
Answer» Answer: y = 20° Step-by-step EXPLANATION: LET the center point be O ∠AOF + ∠FOD + ∠DOB = 180° [ LINEAR pair (LP) ] ∠AOF = 90° ( Given ) ∠FOD = ∠COE [ VERTICALLY opposite angles (VOA) ] = 30° ∠DOB = 3y 90° + 30° + 3y = 180° 120° +3y = 180° 3y = 180 - 120 3y = 60° ∴ ∠DOB = 60° y = 60/3 = 20° ∴ y = 20°

Answer»

Answer:

y = 20°

Step-by-step EXPLANATION:

LET the center point be O

∠AOF + ∠FOD + ∠DOB = 180° [ LINEAR pair (LP) ]

∠AOF = 90° ( Given )

∠FOD = ∠COE [ VERTICALLY opposite angles (VOA) ]

= 30°

∠DOB = 3y

90° + 30° + 3y = 180°

120° +3y = 180°

3y = 180 - 120

3y = 60°

∴ ∠DOB = 60°

y = 60/3

= 20°

∴ y = 20°

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