हिंदी

Abcd Is a Cyclic Quadrilateral In ∠Dbc = 80° and ∠Bac = 40°. Find ∠Bcd.

Advertisements
Advertisements

प्रश्न

ABCD is a cyclic quadrilateral in  ∠DBC = 80° and ∠BAC = 40°. Find ∠BCD.

टिप्पणी लिखिए
Advertisements

उत्तर

(ii) It is given that BC || AD ,`angleDBC ` = 80°   and `angle BAC` = 40° 

We have to find `angleBCD`

 `angleBAC = angleBDC `= 40°            (Angle in the same segment are equal)

`angleDCB = `180°  - (80°  + 40° )

              = 180°  - 120° 

              = 60°   

Hence, `angle BCD ` = 60°   

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 15: Circles - Exercise 15.5 [पृष्ठ १०३]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 9
अध्याय 15 Circles
Exercise 15.5 | Q 18.2 | पृष्ठ १०३

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.


In the given figure, ∠PQR = 100°, where P, Q and R are points on a circle with centre O. Find ∠OPR.


Bisectors of angles A, B and C of a triangle ABC intersect its circumcircle at D, E and F respectively. Prove that the angles of the triangle DEF are 90°-A, 90° − `1/2 A, 90° − 1/2 B, 90° − 1/2` C.


In the figure m(arc LN) = 110°,
m(arc PQ) = 50° then complete the following activity to find ∠LMN.
∠ LMN = `1/2` [m(arc LN) - _______]
∴ ∠ LMN = `1/2` [_________ - 50°]
∴ ∠ LMN = `1/2` ×  _________
∴ ∠ LMN = __________


In a cyclic quadrilateral ABCD, if ∠A − ∠C = 60°, prove that the smaller of two is 60°

 

 

In the given figure, ABCD is a quadrilateral inscribed in a circle with centre O. CD is produced to E such that ∠AED = 95° and ∠OBA = 30°. Find ∠OAC.


PQRS is a cyclic quadrilateral such that PR is a diameter of the circle. If ∠QPR = 67° and ∠SPR = 72°, then ∠QRS =


ABCD is a cyclic quadrilateral. M (arc ABC) = 230°. Find ∠ABC, ∠CDA, and ∠CBE.


If P, Q and R are the mid-points of the sides BC, CA and AB of a triangle and AD is the perpendicular from A on BC, prove that P, Q, R and D are concyclic.


ABCD is a parallelogram. A circle through A, B is so drawn that it intersects AD at P and BC at Q. Prove that P, Q, C and D are concyclic.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×