Advertisements
Advertisements
प्रश्न
In a cyclic quadrilateral ABCD if AB || CD and ∠B = 70°, find the remaining angles.
उत्तर
It is given that, ABCD is a cyclic quadrilateral such that AB || CD and `angle B = 70°`
Sum of pair of opposite angles of cyclic quadrilateral is 180°.
`angle B + angle D = 180°` (`angleB = 70° ` given)
So, `angle D = 110°`
Also AB || CD and BC transversal
So,
`angleB + angleC = 180°`
`angleC = 180 ° - 70° `
= 110°
Now
`angleA + angleC = 180°`
`angleA = 180 °- angleC `
= 180° - 110 °
= 70°
`angleD` = 180° - 70°
`angleD = 110°`
APPEARS IN
संबंधित प्रश्न
Two circles touch externally at a point P. from a point T on the tangent at P, tangents TQ and TR are drawn to the circles with points of contact Q and E respectively. Prove that TQ = TR.
The greatest chord of a circle is called its
In the given figure, BDC is a tangent to the given circle at point D such that BD = 30 cm and CD = 7 cm. The other tangents BE and CF are drawn respectively from B and C to the circle and meet when produced at A making BAC a right angle triangle. Calculate (i) AF
Construct a triangle PQR with QR = 5.5 cm, ∠Q = 60° and angle R = 45°. Construct the circumcircle cif the triangle PQR.
In figure, chords AC and DE intersect at B. If ∠ABE = 108°, m(arc AE) = 95°, find m(arc DC).
The length of the tangent from point A to a circle, of radius 3 cm, is 4 cm. The distance of A from the centre of the circle is ______
In the following figure, if AOB is a diameter of the circle and AC = BC, then ∠CAB is equal to ______.
In the following figure, ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to ______.
In the given figure, O is the centre of the circle. Name all radii of the circle.
A 7 m broad pathway goes around a circular park with a circumference of 352 m. Find the area of road.
