Advertisements
Advertisements
प्रश्न
In following figure.,ABCD is a cyclic quadrilateral . If ∠ BCD = 100° and ∠ ABD = 70° , find ∠ ADB.
उत्तर
In cyclic quadrilateral ABCD,
∠ BCD + ∠ DAB = 180° (Opposite angles of a cyclic quadrilateral)
100 + ∠ DAB = 180
∠ DAB = 80°
In Δ DAB ,
∠ DAB + ∠ ABD + ∠ BDA = 180°
80 + 70° + ∠ BDA = 180°
∠ BDA = 30°
APPEARS IN
संबंधित प्रश्न
In cyclic quadrilateral ABCD, ∠DAC = 27°; ∠DBA = 50° and ∠ADB = 33°.
Calculate:
- ∠DBC,
- ∠DCB,
- ∠CAB.
In the following figure,
- if ∠BAD = 96°, find ∠BCD and ∠BFE.
- Prove that AD is parallel to FE.
In the given figure, AB is parallel to DC, ∠BCE = 80° and ∠BAC = 25°.
Find:
- ∠CAD
- ∠CBD
- ∠ADC
In following figure , O is the centre of the circle. If ∠ APB = 50° then find ∠ AOB and ∠ OAB.
In following fig., O is the centre of the circle, prove that ∠x =∠ y + ∠ z.
In the figure, ABCD is a cyclic quadrilateral with BC = CD. TC is tangent to the circle at point C and DC is produced to point G. If angle BCG=108° and O is the centre of the circle, find: angle DOC
In the figure, O is the centre of the circle and the length of arc AB is twice the length of arc BC. If angle AOB = 108°, find: ∠ADB.
The diagonals of a cyclic quadrilateral are at right angles. Prove that the perpendicular from the point of their intersection on any side when produced backward bisects the opposite side.
Prove that the quadrilateral formed by angle bisectors of a cyclic quadrilateral ABCD is also cyclic.
In the figure , Δ PQR is an isosceles triangle with PQ = PR, and m ∠ PQR = 35°. Find m ∠ QSR and ∠ QTR.