Advertisements
Advertisements
प्रश्न
In the given figure, AOB is a diameter and DC is parallel to AB. If ∠ CAB = xo ; find (in terms of x) the values of: ∠ ADC.
उत्तर
DC || AO
∴ ∠ACD = ∠OAC = x (Alternate angles)
By angle sum property,
∠ADC = 180° - ∠DAC - ∠ACD
= 180° - (90° - 2x ) - x
= 90° + x
APPEARS IN
संबंधित प्रश्न
In the figure, given below, P and Q are the centres of two circles intersecting at B and C. ACD is a straight line. Calculate the numerical value of x .
In the given figure, AE is the diameter of the circle. Write down the numerical value of ∠ABC + ∠CDE. Give reasons for your answer.
In the given figure, AOB is a diameter and DC is parallel to AB. If ∠CAB = x°; find (in terms of x) the values of :
- ∠COB,
- ∠DOC,
- ∠DAC,
- ∠ADC.
In the given figure, PQ is the diameter of the circle whose centre is O. Given ∠ROS = 42°, calculate ∠RTS.
In the given figure, the centre O of the small circle lies on the circumference of the bigger circle. If ∠APB = 75° and ∠BCD = 40°, find :
- ∠AOB,
- ∠ACB,
- ∠ABD,
- ∠ADB.
In a regular pentagon ABCDE, inscribed in a circle; find ratio between angle EDA and angle ADC.
In the given figure, chord ED is parallel to diameter AC of the circle. Given ∠CBE = 65°, calculate ∠DEC.
In the given figure, the centre O of the small circle lies on the circumference of the bigger circle. If ∠APB = 75° and ∠BCD = 40°, find : ∠ACB
In the given figure, the centre O of the small circle lies on the circumference of the bigger circle. If ∠APB = 75° and ∠BCD = 40°, find : ∠ADB
In the given Figure, ABC is a triangle in which ∠BAC = 30°. Show that BC is the radius of the circumcircle of A ABC, whose center is O.