Home
Class 9
MATHS
In Fig. 10.38, /A B C\ =\ 69^@, /A C B\...

In Fig. 10.38, `/_A B C\ =\ 69^@`, `/_A C B\ =\ 31^@`, find `/_B D C`

Text Solution

Verified by Experts

Consider the `triangleABC`, the sum of all angles will be `180^@`
.`angleABC + angleBAC + angleACB = 180^@`
`69^@ + angleBAC + 31^@ = 180^@`
`angleBAC = 180^@ -100^@
= 80^@`
We know that angles in the same segment of a circle are equal.
So, `angleBDC = angleBAC = 80^@`
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    NCERT|Exercise EXERCISE 10.2|2 Videos

  • CIRCLES

    NCERT|Exercise Exercise 10.4|6 Videos

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    NCERT|Exercise EXERCISE 9.1|1 Videos

  • CONSTRUCTIONS

    NCERT|Exercise EXERCISE 11.2|5 Videos

Similar Questions

Explore conceptually related problems

In a /_\ ABC , if /_A = 65^(@) , /_B = 45^(@) , find /_C .

In Fig. 6.32, if A B||C D , /_A P Q=50^@ and /_P R D=127^@ , find x and y.

In Fig. 71, if A B C D\ a n d\ C D E F ,\ find \ /_A C E

In Fig.81, side B C of A B C has been produced to D and C E B Adot If /_A B C=65^0,\ /_B A C=55^0, find /_A C E ,\ /_E C D\ a n d\ /_A C Ddot

In Fig. 6.13, lines AB and CD intersect at O. If /_A O C\ +/_B O E=70^@ and /_B O D=40^@ , find /_B O E and reflex /_C O E .

D is a point on the side B C of A B Cdot A line P D Q , though D , meets side A C in P a n d A B produced at Q . If /_A=80^0, /_A B C=60^0 and /_P D C=15^0 find (i) /_A Q D (ii) /_A P Ddot

In a /_\ ABC ,if 2 /_A = 3 /_B = 6 /_C , then /_B = ?

A B C D is a cyclic quadrilateral in which: B C A D ,\ /_A D C=110^0\ a n d\ /_B A C=50^0dot Find /_D A C /_D B C=80^0\ a n d\ /_B A C=40^0dot Find /_B C D /_B C D=100^0a n d\ /_A B D=70^0 find /_A D B

In a ABC, if /_A=55^(0),/_B=40^(@), find /_C