The side `B C` of a ` A B C` is produced on both sides. Show that the sum of the exterior angles so formed is greater than `/_A` by two right angles.

The side B C of a triangle A B C is produced on both sides. Show that the sum of the exterior angles so formed is greater than /_A by two right angles.

If the side B C of A B C is produced on both sides, then write the difference between the sum of the exterior angles so formed and /_A .

If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.

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

Alternate sides of a hexagon are produced to meet so as to form a star-shaped figure. Show that the sum of a angles at vertices of the star is equal to 4-right angles.

The side B C\ of a triangle A B C is produced, such that D is on the ray B Cdot The bisector of /_A meets B C in L as shown in Figure. Prove that /_A B C+/_A C D=2/_A L C

The side B C\ of a A B C is produced, such that D is one ray B Cdot The bisector of /_A meets B C in L as shown in Figure. Prove that /_A B C+/_A C D=2/_A L C

The side B C\ of a A B C is produced, such that D is one ray B Cdot The bisector of /_A meets B C in L as shown in Figure. Prove that /_A B C+/_A C D=2/_A L C

(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 C,D 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

Prove that in a triangle, other than an equilateral triangle, angle opposite the longest side is greater than 2/3 of a right angle.