Exterior Angle Solve Online

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°.

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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°.

Transverse Plane

Introduction to transversals plane:

The line, ray or segment which intersects the one or two line or ray or segment in the same plane. The intersected line should not to be parallel.We can also define it as; a line that passes through the one or two lines that are in the same plane (coplanar) is called as transversal line.
Angles:
There are several angles are made by the transversal line which intersect the parallel line.
Corresponding angles

Alternate angles
Alternate Interior angles
Alternate Exterior Angles
Vertical angles
Consecutive interior angles


Transversals Vs Parallel Line Angles:

Corresponding Angles:
When a transversal line intersects the two parallel lines, the angles in the matching corner are called as corresponding angles.The corresponding angles are always having common value.The corresponding angles are the congruent angles that lie on the same side of the transversal line.
Alternate Interior angles:
When a transversal line intersects the two parallel lines, the pair of angles that are on the opposite side of the transversal line but inside of the two lines called as alternate interior angle.The Alternate Interior angles are always having common measurement.
Alternate Exterior Angles:
When a transversal line intersects the two parallel lines, the pair of angles that are on the opposite side of the transversal line but outside of the two lines called as alternate Exterior angle.The Alternate Exterior angles are always having common measurement. Understanding math help online tutor is always challenging for me but thanks to all math help websites to help me out.

Tansversals :vertical and Consecutive Angles:

Vertical angles:
The opposite angles made by the transversal line that intersect the parallel lines are called as vertical angles. These angles are also called as vertically opposite angles.The vertical angles are also having common measurement.
Consecutive interior angles:
The pair of angles on one side of the transversal line but inside of the two lines is called as consecutive interior angles.The sums of the consecutive interior angles are equal to 180 degree.