If ABCD is a cyclic trapezium in which AD∥ BC and ∠B=60o, then ∠

1.	If ABCD is a cyclic trapezium in which AD∥ BC and ∠B=60o, then ∠BCD is equal to *A) 80oB) 90oC) 60oD) 100o
Answer» SOLUTION TO CHOOSE THE CORRECT OPTION If ABCD is a cyclic trapezium in which AD ∥ BC and ∠B=60°, then ∠BCD is equal to A) 80° B) 90° C) 60° D) 100° EVALUATION Here it is given that in a cyclic trapezium ABCD ∠B = 60° ∴ ∠ABC = 60° We are aware of the formula the SUM of the opposite angles of a cyclic trapezium = 180° So ∠ABC + ∠ADC = 180° ⇒ 60° + ∠ADC = 180° ⇒ ∠ADC = 180° – 60° ⇒ ∠ADC = 120° Again it is given that AD \|\| BC ∴ ∠ADC + ∠BCD = 180° ⇒ 120° + ∠BCD = 180° ⇒ ∠BCD = 180° – 120° = 60° FINAL ANSWER Hence the correct option is C) 60° ━━━━━━━━━━━━━━━━ Learn more from Brainly :- $1.$ triangle ABC is congruent to triangle FDE and AB=6cm, angle B=40 angle A=80 what is length of SIDE DF of triangle FDE an. brainly.in/question/21499334 2. If base radius of a CYLINDER is doubled then the volume of new cylinder = ______times the volume of given cylinder brainly.in/question/33235561

If ABCD is a cyclic trapezium in which AD∥ BC and ∠B=60o, then ∠BCD is equal to *A) 80oB) 90oC) 60oD) 100o

Answer»

TO CHOOSE THE CORRECT OPTION

If ABCD is a cyclic trapezium in which AD ∥ BC and ∠B=60°, then ∠BCD is equal to

A) 80°

B) 90°

C) 60°

D) 100°

EVALUATION

Here it is given that in a cyclic trapezium ABCD ∠B = 60°

∴ ∠ABC = 60°

We are aware of the formula the SUM of the opposite angles of a cyclic trapezium = 180°

So ∠ABC + ∠ADC = 180°

⇒ 60° + ∠ADC = 180°

⇒ ∠ADC = 180° – 60°

⇒ ∠ADC = 120°

Again it is given that AD || BC

∴ ∠ADC + ∠BCD = 180°

⇒ 120° + ∠BCD = 180°

⇒ ∠BCD = 180° – 120° = 60°

FINAL ANSWER

Hence the correct option is C) 60°

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Learn more from Brainly :-

$1.$ triangle ABC is congruent to triangle FDE and AB=6cm, angle B=40 angle A=80 what is length of SIDE DF of triangle FDE an.

2. If base radius of a CYLINDER is doubled then the volume of new cylinder = ______times the volume of given cylinder