Introduction - Exterior angle solve online:
In this article, we shall discuss about Exterior angle solve online. Online helps students to share their views as well as gather notes regarding their subject. In geometry, shapes play an important part. There are various kinds of shapes. Any plane figure which is formed at the vertex where two lines intersect are called angles. The angles formed at the outer part of each vertex are called as exterior angles. There are two methods to find the exterior angles.
Method 1:
Exterior angle = `360/n` ,
where n is the number of sides of the polygon.
Method 2:
Exterior angle = 180 - interior angle.
Now we shall solve some example problems regarding exterior angle solve online.
Example Problems - exterior angle solve online:
Example 1:
Solve for the exterior angle of a polygon whose interior angle is 108°. Also determine the number of sides of the polygon.
Solution:
Given, The interior angle of a polygon is 108°.
When the interior angle is given, the exterior angle of a polygon can be calculated by using the formula,
Exterior angle = 180 - Interior angle
Exterior angle = 180 - 108°
= 72°
The exterior angle of the polygon is 72°.
Now the number of sides of the polygon can be determined by using the formula,
Exterior angle = `360/n`
where n is the number of sides of the polygon.
We know that the exterior angle of the given polygon is 72°
72 = `360 / n`
Multiply by n on both sides,
`72 n = n[360/n]`
`72 n = 360`
Divide by 72 on both sides
`(72n) / 72 = 360/72`
`n = 5`
Therefore the number of sides of the polygon is 5.
Since n = 5, the name of the polygon is pentagon.
Example 2:
Solve for the exterior angle of a polygon whose number of sides is 8.
Solution:
When the number of sides of the polygon is given, the exterior angle can be calculated by using the formula,
Exterior angle = `360/n`
where n is the number of sides of the polygon.
By substituting n = 8 in the formula, we can obtain the exterior angle of the polygon.
Exterior angle = `360/8`
= 45°
Since n = 8, the name of the polygon is octagon.
Hence the exterior angle of octagon is 45°.
I have recently faced lot of problem while learning Define Alternate Interior Angles, But thank to online resources of math which helped me to learn myself easily on net.
Practice Problems - exterior angle solve online:
Problem 1:
Solve for the exterior angle of a polygon whose interior angle is 120°. Also determine the number of sides of the polygon.
Answer:
Exterior angle = 60°
Number of sides = 6
Problem 2:
Solve for the exterior angle of a polygon whose number of sides is 10.
Answer:
Exterior angle = 36°.
In this article, we shall discuss about Exterior angle solve online. Online helps students to share their views as well as gather notes regarding their subject. In geometry, shapes play an important part. There are various kinds of shapes. Any plane figure which is formed at the vertex where two lines intersect are called angles. The angles formed at the outer part of each vertex are called as exterior angles. There are two methods to find the exterior angles.
Method 1:
Exterior angle = `360/n` ,
where n is the number of sides of the polygon.
Method 2:
Exterior angle = 180 - interior angle.
Now we shall solve some example problems regarding exterior angle solve online.
Example Problems - exterior angle solve online:
Example 1:
Solve for the exterior angle of a polygon whose interior angle is 108°. Also determine the number of sides of the polygon.
Solution:
Given, The interior angle of a polygon is 108°.
When the interior angle is given, the exterior angle of a polygon can be calculated by using the formula,
Exterior angle = 180 - Interior angle
Exterior angle = 180 - 108°
= 72°
The exterior angle of the polygon is 72°.
Now the number of sides of the polygon can be determined by using the formula,
Exterior angle = `360/n`
where n is the number of sides of the polygon.
We know that the exterior angle of the given polygon is 72°
72 = `360 / n`
Multiply by n on both sides,
`72 n = n[360/n]`
`72 n = 360`
Divide by 72 on both sides
`(72n) / 72 = 360/72`
`n = 5`
Therefore the number of sides of the polygon is 5.
Since n = 5, the name of the polygon is pentagon.
Example 2:
Solve for the exterior angle of a polygon whose number of sides is 8.
Solution:
When the number of sides of the polygon is given, the exterior angle can be calculated by using the formula,
Exterior angle = `360/n`
where n is the number of sides of the polygon.
By substituting n = 8 in the formula, we can obtain the exterior angle of the polygon.
Exterior angle = `360/8`
= 45°
Since n = 8, the name of the polygon is octagon.
Hence the exterior angle of octagon is 45°.
I have recently faced lot of problem while learning Define Alternate Interior Angles, But thank to online resources of math which helped me to learn myself easily on net.
Practice Problems - exterior angle solve online:
Problem 1:
Solve for the exterior angle of a polygon whose interior angle is 120°. Also determine the number of sides of the polygon.
Answer:
Exterior angle = 60°
Number of sides = 6
Problem 2:
Solve for the exterior angle of a polygon whose number of sides is 10.
Answer:
Exterior angle = 36°.
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