emmawande308
Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

one interior angle of a polygon is a right angle and each of the other interior angles is 126°. Calculate the number of sides of the polygon​

Sagot :

mtngkhoi

Answer:

There are 7 sides.

Step-by-step explanation:

Let's Use the formula that states that the sum of the angles of an n-sided polygon is given by.

S=(n−2)180

Since we are given that the two angles are right, the angles and each of the remaining angles is 144.

And Therefore, the sum is:

S=90

(n−2)144

(n−2)180

=90

+90

+(n−2)144

⇒(n−2)180

−(n−2)144

=180

⇒(n−2)(180

−144

)=180

⇒(n−2)(36

=180

⇒n−2=

36

180

​⇒n−2=5

⇒n=5+2=7

Hence, the polygon has 7 sides.

Answer:

Step-by-step explanation:

The total of angles and number of sides are related by the equation

t = 180(n - 2)

The total angles in this polygon t = 126n + 90

So:

180(n - 2) = 126n + 90

180n - 360 = 126n + 90

54n = 360 + 90 = 450

n = 8.333..

Looks like there's a mistake in the question as n should be a whole number.

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.