Sides `B C ,C A` and BA of a triangle `A B C` are produced to `D ,Q ,P` respectively as shown in Figure. If `/_A C D=100^0` and `/_Q A P=35^0,` find all the angles of the triangle.

Sides BC,CA and BA of a triangle ABC are produced to D,Q,P respectively as shown in Figure.If /_ACD=100^(@) and /_QAP=35^(@), find all the angles of the triangle.

In Figure, if A B||C D , /_A P Q=50^0A N D /_P R D=127^0, find x a n d y

The sides A B and A C of a A B C are produced to P and Q respectively. If the bisectors of /_P B C AND /_Q C B intersect at O , then /_boc=90^0-1/2/_A GIVEN : A A B C in which sides A B and A C are produced to P and Q respectively. The bisectors of /_P B C and /_Q C B intersect at Odot

In ABC,/_A=50^(@),/_B=70^(0) and bisector of /_C mets AB in D .find the angles of the triangle ADC and BDC .

In Fig. 64, A B||C D\ and a transversal P Q cuts them at L\ a n d\ M respectively. If /_Q M D=100^0, find all other angles.

If A B C D is a rhombus with /_A B C=56^0, find the measure of /_A C D

In Figure, two sides A B\ a n d\ B C and the median A D\ of A B C are equal respectively to the two sides P Q\ a n d\ Q R and the median P M of the other triangle P Q Rdot Prove that A B D~= P Q M (ii) A B C\ ~=\ \ P Q R

Side B C of a triangle A B C has been produced to a point D such that /_120^0dot If /_B=1/2/_A , then /_A is equal to 80^0 (b) 75^0 (c) 60^0 (d) 90^0

If the vertices A, B, C of a triangle ABC are (1," "2," "3)," "(1," "0," "0)," "(0," "1," "2) , respectively, then find /_A B C . [/_A B C is the angle between the vectors vec( B A) and vec (B C) .

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