ABCD is a cyclic trapezium whose sides AD and BC are parallel to each other; if ∠ABC = 75° then the measure of ∠BCD is:
A. 75°
B. 95°
C. 45°
D. 105°
Answer: Option A
Solution (By Examveda Team)
According to figure
⇒ AD || BC
⇒ ∠ABC = 75°
Then
⇒ ∠ABC + ∠ADC = 180°
⇒ 75° + ∠ADC = 180°
⇒ ∠ADC = 180° - 75°
⇒ ∠ADC = 105°
⇒ As we know in a cyclic trapezium
∠ADC + ∠DCB = 180°
(AD || BC, corresponding angle)
⇒ 105° + ∠DCB = 180°
⇒ ∠DCB = 75°
This Question Belongs to Arithmetic Ability >> Geometry
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In the given figure, ∠ONY = 50° and ∠OMY = 15°. Then the value of the ∠MON is
A. 30°
B. 40°
C. 20°
D. 70°
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