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The sum of the exterior angles of a polygon is 360o. For a dodecagon (12 sides) the exterior angle is 360o / 12 = 30o.
The interior and exterior angles are supplementary and so they sum to 180o; thus the interior angle of a dodecagon is 180o - 30o = 150o.
For an interior angle of 144o, the exterior angle is 180o - 144o = 36o, so there are 360o / 36o = 10 sides (a decagon).
What else can I help you with?
What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 53?
If your "53" is in degrees, then the vertex angle is 74 degrees.
An exterior angle at the base of an isosceles triangle measures 130 find the measure of the vertex angle?
80 degrees.
What is the sum of the measures of the interior angles of a regular polygon if each angle measures 90 degrees?
If each angle measures 90 degrees the polygon is a square and so its angles sum to 360 degrees.
What is the measure of each exterior angle and each interior angle of nonagon?
Providing that it is a regular nonagon then each exterior angle measures 40 degrees and each interior angle measures 140 degrees
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72 degrees?
It is: 180-72 = 108 degrees and it is a regular 5 sided pentagon
What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 53?
If your "53" is in degrees, then the vertex angle is 74 degrees.
What is the degrees of a vertex angle?
The degree measure of a vertex angle depends on the specific geometric figure in question. For example, in an equilateral triangle, each vertex angle measures 60 degrees, while in a square, each vertex angle measures 90 degrees. In general, the vertex angle can vary widely in different shapes, so it is important to specify the figure to provide an accurate measurement.
What is the measurement of the vertex angle of an isosceles triangle is the measure of one of its base angle is 42?
The vertex angle of an isosceles triangle is equal to the measure of each of its base angles. Therefore, if one of the base angles measures 42 degrees, then the vertex angle also measures 42 degrees.
What is the vertex angle of an isosceles triangle if one of its base angle measures 62?
Vertex angle = 180 - 2(62) = 56 degrees
Can two angles share a vertex form a right angle?
Yes, two angles that share a vertex can form a right angle, but only if the sum of their measures equals 90 degrees. For instance, if one angle measures 30 degrees and the other measures 60 degrees, together they create a right angle. However, if their combined measures exceed 90 degrees, they cannot form a right angle.
What is the measure of a base angle of an isosceles triangle if its vertex angle measures 65?
57.5 degrees
What is the small box at the vertex of angle AOB indicates that angle AOB measures?
90 degrees
What is the measure of the vertex angle of an isosceles triangle if one of the base angles measures 53?
Vertex angle is 180-53-53 = 74 degrees
An exterior angle at the base of an isosceles triangle measures 130 find the measure of the vertex angle?
80 degrees.
What is the measure of each exterior angle one angle at each vertex of a regular hexagon?
60 degrees.
The measure of one angle in a regular octagon is?
Each interior angle measures 135 degrees Each exterior angle measures 45 degrees
What is the measure of an interior angle of a regular dodecagon?
Each interior angle measures 150 degrees Each exterior angle measures 30 degrees
