THEOREM (Exterior Angle Property of a Triangle) : If a side of a triangle is produced the exterior angle so formed is equal to the sum of two interior opposite angles.

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.

Theorem 6.8 : If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

(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

27.Prove that an exterior angle of a triangle is equal to the sum of its interior opposite angles.

If one side of a cyclic quadrilateral is produced; then the exterior angle is equal to the interior opposite angle.

If one side of a cyclic quadrilateral is produced,then the exterior angle is equal to the interior opposite angle.

State exterior angle theorem

If a side of the cyclic quadrlateral is produced ; then the external angle is equal to the interior opposite angles.

Which of the following statements are true (T) and which are false (F): Sum of the three angles of a triangle is 180^0 A triangle can have two right angles. All the angles of a triangle can be less than 60^0 All the angles of a triangle can be greater than 60^0 All the angles of a triangle can be equal to 60^0 A triangle can have two obtuse angles. A triangle can have at most one obtuse angles. In one angle of a triangle is obtuse, then it cannot be a right angled triangle. An exterior angle of a triangle is less than either of its interior opposite angles. An exterior angle of a triangle is equal to the sum of the two interior opposite angles. An exterior angle of a triangle is greater than the opposite interior angles

The measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles