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Question 16-
in ∆ACD,
1 + 2 = 180° - 110°
=> [1 + 2= 70°]
ADE = ABC. [Ext. angle of cyclic quadrilateral]
=> ABC = 70° = OBA + OBC
=>OBC =70°- OBA =70° - 45°
[OBC = 25°]
In ∆OBC,
OB = OC [radii]
=> 3 + 4 = 25° [angle opposite to equal sides]
In Cyclic Quadrilateral ABCD,
A+C = 180° [Opposite angles of cyclic quadrilateral]
(45°+X+2) + (25°+X+1) = 180°
70° + 2X + (1+2) = 180°
2X = 180° - 70° - 70°. [1+2 = 70°]
2X = 40°
X=20°
=> [OCA= 20°]
BAC = 45° + X
= 45° + 20°
[BAC= 65°]
in ∆ACD,
1 + 2 = 180° - 110°
=> [1 + 2= 70°]
ADE = ABC. [Ext. angle of cyclic quadrilateral]
=> ABC = 70° = OBA + OBC
=>OBC =70°- OBA =70° - 45°
[OBC = 25°]
In ∆OBC,
OB = OC [radii]
=> 3 + 4 = 25° [angle opposite to equal sides]
In Cyclic Quadrilateral ABCD,
A+C = 180° [Opposite angles of cyclic quadrilateral]
(45°+X+2) + (25°+X+1) = 180°
70° + 2X + (1+2) = 180°
2X = 180° - 70° - 70°. [1+2 = 70°]
2X = 40°
X=20°
=> [OCA= 20°]
BAC = 45° + X
= 45° + 20°
[BAC= 65°]
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