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How do you use the exterior angles of a triangle to find interior angle measurements?
Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right,
The measures of an exterior angles and the adjacent interior angle sum to 360 degrees because they from a linear pair?
False. apexs
Does the measures of an exterior angle and the adjacent interior angle add up to a 360 degree?
No because they add up to 180 degrees
What is the exterior and interior angles of a regular 20-gon?
Exterior angle measures 18 degrees Interior angle measures 162 degrees
The measures of an exterior angle and the adjacent interior angle add up to 180 because they form a linear pair.?
An exterior angle and its adjacent interior angle form a linear pair, which means they are supplementary angles. This means their measures always add up to 180 degrees. Therefore, if you know the measure of one angle, you can easily find the other by subtracting from 180. This relationship is fundamental in geometry, particularly when studying polygons.
How do you use the exterior angles of a triangle to find interior angle measurements?
Theorem: An measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.An exterior angle is formed by one side of a triangle and the extension of an adjacent side of the triangle.In the triangle at the right,
The measures of an exterior angles and the adjacent interior angle sum to 360 degrees because they from a linear pair?
False. apexs
Does the measures of an exterior angle and the adjacent interior angle add up to a 360 degree?
No because they add up to 180 degrees
What is the interior and exterior measures for a 9 sided shape?
Interior: 140 Exterior: 40
If a non regular hextagon has five exteriorangle measures of 55 60 69 57 and 57 what is the measure of the interior angle adjacent to the sixth exterior angle?
Five of the six exterior angle measures of a nonregular hexagon measure 55, 60, 69, 57, and 57. what is the measure of the unterior angle adjacent to the sixth exterior angles?
What is the exterior and interior angles of a regular 20-gon?
Exterior angle measures 18 degrees Interior angle measures 162 degrees
What is the sum of the measures of the interior angles of the regular polygon if each exterior measures 120?
Hint: in a regular polygon interior plus exterior = 180o, always.
The measures of an exterior angle and the adjacent interior angle add up to 180 because they form a linear pair.?
An exterior angle and its adjacent interior angle form a linear pair, which means they are supplementary angles. This means their measures always add up to 180 degrees. Therefore, if you know the measure of one angle, you can easily find the other by subtracting from 180. This relationship is fundamental in geometry, particularly when studying polygons.
Do the measures of an exterior angle and the adjacent interior angle sum to 180 because they form a linear pair?
Yes. Combined, they would form a straight line, or 180 degrees.
If the sum of the measures of the interior angles of a polygon equals the sum of the measures of its exterior angles how many sides does it have?
1 a circle 360 interior angles 360 exterior agles
What is the exterior-angle theorem?
The exterior-angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. This theorem helps in understanding the relationships between the angles of a triangle and is useful for solving various geometric problems. It emphasizes that the exterior angle is always greater than either of the interior angles it is not adjacent to.
What is the sum of the measures of the interior angles if each exterior angle measures 120?
180
