Measuring Angles Interactive

The interactive of measuring the exterior angles are the angles between any sides of shapes, and a line extended from the other side. Interactive figures exterior angles are any straight sides with flat shape. Polygon measuring exterior angle sum is 360°. In other words Polygon measuring of sum exterior angle is one full revolution.  The measuring angles are made with an extension of a side and its corresponding adjacent sides are the exterior angle.

Overview for Measuring Angles Interactive:

If you can measuring the interior and the exterior angle of straight line gives 180 degree. The Interactive regular polygons or objects exterior angles are the congruent, and polygon measuring exterior angle sum is 360°. So each polygon of measuring exterior angle is 360 divided by the n, the number of sides. Any figure interior angle is supplementary to an exterior angle at that vertex is 180.  Interior angles and exterior angles are always complementary.
Example Problems for Measuring Angles Interactive:

1) Measuring exterior angles of polygon, that the polygon angles are 80, x, 95, 125 degrees

Solution:

All polygons measuring of exterior angle sum is 360 degrees.

So add all the exterior angles and equate to the 360 degrees.

The given exterior angles are 80, x, 95, 125 degrees.

80+95+125+x = 360

300+x =x360

Subtracted both sides by 300

x = 360-300

x = 60`^@`

2) Measuring of exterior angles of polygon, that the polygon angles are 40, 2x, 3x, 2x, x degrees

Solution:

All polygon measuring exterior angle sums is 360 degrees.

So add up all the exterior angles and equate to the 360 degrees.

Given exterior angles are 40, 2x, 3x, 2x, x degrees.

40+x+2x+3x+2x = 360

40+8x = 360

Subtract both sides by 40 degrees

8x = 320

Divide both sides by 8

X = 40

Therefore each angle is

X = 40

2x = 2*40 = 80

3x = 3*40 =120

Each exterior angle is 40°, 40°, 80°, 120°, and 80°.


3) Measuring exterior angles of polygon, that the polygon angles are 80, x, 95, 125 degrees

Solution:

Given figure angle is four sided shape.

The sum of interior angle any four sided figure is 360 degree

All polygons measuring of interior angle sum is 360 degrees.

So add all the interior angles and equate to the 360 degrees.

The given interior angles are 80, x, 95, 115 degrees.

80+95+115+x  =360

290+x = 360

Subtracted both sides by 290

x = 360-290

x = 70`^@`