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In order to apply the law of cosines to find the measure of an interior angle what is enough to know?
The lengths of all three sides of the triangle APEX:)
What else can I help you with?
What is the measure of the supplementary angle of an interior angle?
The measure of the exterior angle.
What is an exterior angle of a triangle and how does the measure of an exterior angle relate to the interior angles?
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
What the measure of interior angle of an equiangular pentagon?
Each interior angle measures 108 degrees
The measure of an interior angle of a heptagon?
Any angle that you like.
Can you use the Law of Cosines to solve a triangle when you are given two side lengths and the included angle measure?
Yes, absolutely
In order to apply the law of cosines to find the measure of an interior angle it is enough to know which of the following the measure of an interior angle i?
To apply the law of cosines to find the measure of an interior angle in a triangle, you need to know the lengths of all three sides of the triangle. Specifically, if you have sides ( a ), ( b ), and ( c ), you can use the formula ( c^2 = a^2 + b^2 - 2ab \cos(C) ) to solve for the angle ( C ). Thus, knowing the side lengths is sufficient to determine the interior angle.
When do you use the Law of Cosines?
We use the law of Cosines to be able to find : 1. The measure of the third side, when the measure of two sides and the included angle of a triangle ABC are known. 2. The measure of any angle, when the measure of the three sides of a triangle ABC are known.
Which regular polygon the measure of the exterior angle is twice the measure of the interior angle?
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
What is the measure of the supplementary angle of an interior angle?
The measure of the exterior angle.
What is the measure of a polygons interior angle?
It is: 180-exterior angle = interior angle
What is the measure of an interior angle that has a regular polygon with 20 sides?
Each interior angle will measure 162 degrees
What is the measure of an interior angle of a normal polygon with 15 sides?
Each interior angle will measure 156 degrees
How can you get the measure of an interior angle if you have the measure of the exterior angle of a regular polygon?
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
What is the measure of one interior angle on a regular polygon with an interior angle sum of 2160 degrees?
It will have 14 sides and each interior angle will measure 2160/14 degrees
What is an exterior angle of a triangle and how does the measure of an exterior angle relate to the interior angles?
Exterior angle+interior angle=180 degrees and 180-exterior angle=interior angle
How do you measure the interior angle of a polygon?
With a protractor or if you know the exterior angle then it's 180 - exterior angle = interior angle
The measure of an exterior angle of a triangle is equal to the measure of either remote interior angle?
No. The sum of the other two interior angles.
