The sides `B C ,C A` and `A B` of a triangle `A B C ,` are produced in order, forming exterior angles `/_A C D ,/_B A E` and `/_C B F` . Show that `/_A C D+/_B A E+/_C B F=360^0`

(Exterior Angle Theorem): If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles. GIVEN : A triangle A B CdotD is a point of B C produced, forming exterior angle /_4. TO PROVE : /_4=/_1+/_2 i.e. , /_A C D=/_C A B+/_C B Adot

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

If the sides of a triangle are produced in order, then the sum of the three exterior angles so formed is 90^(0)(b)180^(@)(c)270^(0)(d)360^(@)

In a Delta ABC, if 2 /_A = 3 /_B = 6 /_C then calculate /_A, /_B and /_C .

Two triangles ABC and DEF such that /_A=/_D,/_B=/_E and /_C=/_F. Then

In Figure, it is given that A B=C F , E F=B D a n d /_A F E= /_C B Ddot Prove that A F E= ~= C B D

Any point D is taken in the base B C of a triangle A B C\ a n d\ A D is produced to E , making D E equal to A Ddot Show that a r\ ( B C E)=a r( A B C)

In Fig. 7.21, A C\ =\ A E , A B\ =\ A D and /_B A D\ =/_E A C . Show that B C\ =\ D E .

In fig.41, A B C is a right triangle right angled at Adot D lies on B A produced and D E_|_B C , intersecting A C at F . if /_A F E=130^0, find /_B D E (ii) /_B C A /_A B C