Advertisements
Advertisements
प्रश्न
Use the given figure to find:
- ∠BAD,
- ∠DQB.
उत्तर
i. By angle sum property of ∆ADP,
∠BAD = 180° – 85° – 40° = 55°
ii. ∠ABC = 180° – ∠ADC = 180° – 85° = 95°
(Pair of opposite angles in a cyclic quadrilateral are supplementary)
By angle sum property,
∠AQB = 180° – 95° – 55°
`=>` ∠DQB = 30°
APPEARS IN
संबंधित प्रश्न
In the given figure, C and D are points on the semi-circle described on AB as diameter. Given angle BAD = 70° and angle DBC = 30°, calculate angle BDC.
In the given figure, AB is the diameter of a circle with centre O. ∠BCD = 130°. Find:
(i) ∠DAB
(ii) ∠DBA
The given figure shows a semi-circle with centre O and diameter PQ. If PA = AB and ∠BCQ =140°; find measures of angles PAB and AQB. Also, show that AO is parallel to BQ.
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. Find ∠ CBD.
ABCDE is a cyclic pentagon with centre of its circumcircle at point O such that AB = BC = CD and angle ABC=120°.
Calculate: ∠ BED.
In the figure, ∠DBC = 58°. BD is a diameter of the circle. Calculate : ∠BEC
Prove that the quadrilateral formed by angle bisectors of a cyclic quadrilateral ABCD is also cyclic.
In the given figure O is the center of the circle, ∠ BAD = 75° and chord BC = chord CD. Find:
(i) ∠BOC (ii) ∠OBD (iii) ∠BCD.
In the figure , Δ PQR is an isosceles triangle with PQ = PR, and m ∠ PQR = 35°. Find m ∠ QSR and ∠ QTR.