Question

Find the number of sides of a regular polygon when each of it’s angles has a measure of:
i) 175° ii) 135°

Answer 1

Step-by-step explanation:

Each interior angle of a regular polygon =

Each interior angle of a regular polygon = n

Each interior angle of a regular polygon = n180

Each interior angle of a regular polygon = n180 o

Each interior angle of a regular polygon = n180 o (n−2)

Each interior angle of a regular polygon = n180 o (n−2)

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2)

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2)

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180 o

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180 o n−135

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180 o n−135 o

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180 o n−135 o n=360

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180 o n−135 o n=360 o

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180 o n−135 o n=360 o

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180 o n−135 o n=360 o =>45

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180 o n−135 o n=360 o =>45 o

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180 o n−135 o n=360 o =>45 o n=360

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180 o n−135 o n=360 o =>45 o n=360 o

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180 o n−135 o n=360 o =>45 o n=360 o

Each interior angle of a regular polygon = n180 o (n−2) where n = number of sides of polygon.Given, each of its angles has a measure of 135 o .n180 o (n−2) =135 o =>180 o n−135 o n=360 o =>45 o n=360 o =>n=8