Interior opposite angles

The measure of one of the exterior angles of a triangle is twice one of the interior opposite angles and the measure of the other interior opposite angles is 60^@ . The triangle is a/an त्रिभुज के बाहरी कोणों में से एक का माप आंतरिक विपरीत कोणों से दोगुना है और कोण के विपरीत अन्य आंतरिक कोण का माप 60^@ है। त्रिभुज है?

(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

angle A and angle B are the interior opposite angle of angle BCD in Delta ABC . Which of these statements is true?

If the exterior angle of a quadrilateral formed by producing one of its sides is equal to the interior opposite angle, prove that the quadrilateral is cyclic.

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.

An exterior angle of a triangle is 110^(@) , and one of the interior opposite angle is 30^(@) . Then the other interior angle is K x 40^(@) . Find K.

In a triangle,an exterior angle at a vertex is 95^(0) and its one of the interior opposite angle is 55^(0), then the measure of the other interior angle is 55^(0)(b)85^(0)(c)40^(0)(d)90^(0)

In the adjoining figure,identify ( i ) the pairs of corresponding angles.(ii) the pairs of alternate interior angles.(iii) the pairs of interior angles on the same side of the transversal.(iv) the vertically opposite angles.