Question

An exterior angle of a parallelogram is 115° what is it's one Interior angle
​

Answer 1

Answer:

65°

Step-by-step explanation:

Let the interior angle be 'x'.

The interior and exterior angles form a linear pair (sum = 180°).

180° = 115° + x°

180°-115°=x°

65°=x°

Answer 2

Answer:

This answer is used when the exterior angle is 110°

ABCD is a parallelogram.

∠CBX is exterior angle of parallelogram ABCD.

∠CBX +∠ABC  = 180°

110° +∠ABC  = 180°

∠ABC = 180° - 110°

∠ABC = 70°

∠B =∠D

[  Opposite angles of parallelogram are equal ]

so, ∠D = 70°

∠DCB +∠ABC  = 180°

[  Supplementary angles ]

∠DCB + 70° = 180°

∠DCB= 180° - 70°

∠DCB = 110

This answer is used when the exterior angle is 110°