Answer:
(n-2)×180=1080
180n -360=1080
180n = 1080+360
180n =1440
dividing by 180
n=8
hence it is a regular polygon with 8 sides .I.e it is an octagon
Step-by-step explanation:
we are given the total interior angles in the polygon and we know that the formula to find the total interior angles of a polygon is (n-2) ×180
where n is the number of sides
The number of people travelled by train from the station on tuesday is 357.
Let us assume the number of people who travelled by train from the station on tuesday be x. Using the concept of ratio and proportion to solve and calculate x.
Forming the ratio-
20 : 17 = 420 : x
Solving the ratio and proportion for the value of x
x = (420 × 17) ÷ 20
Performing multiplication in numerator
x = 7140 ÷ 20
Performing division on Right Hand Side of the equation
x = 357
Therefore, based on the information, 357 people used to travel.
Learn more about ratio and proportion -
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Solve the system using substitutions:
x has a value of 1. Use this value to find the value of y.
y has a value of 1.
x=1
y=1
The answer is 0.15290519877
The measures of angles B and C are 118° and 62°, respectively.
<h3>What are the measures of two missing angles generated by the intersection of two lines?</h3>
A system of three angles is generated by two lines intersecting each other. In accordance with Euclidean geometry, angle C is opposite to the angle with measure 62° and angle B is supplementary to the same angle.
When two angles are opposite, then both have the same measure, and when two angles are supplementary, then the sum of their measures equals 180°. Therefore, the measures of angles B and C are 118° and 62°, respectively.
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