how to calculate the exterior angle of a triangle?
605610
['The interior angles of a triangle add to 180°:a + b + c = 180°', 'Angles c and d make a straight angle, which is 180°:d + c = 180°', 'So d + c equals a + b + c:d + c = a + b + c.', 'Subtract c from both sides:d = a + b.']
396740
['Step 1 The two sides we know are Adjacent (6,750) and Hypotenuse (8,100).', 'Step 2 SOHCAHTOA tells us we must use Cosine.', 'Step 3 Calculate Adjacent / Hypotenuse = 6,750/8,100 = 0.8333.', 'Step 4 Find the angle from your calculator using cos-1 of 0.8333:']
248107
Angles opposite to equal sides of a triangle are equal. Sides opposite to equal angles of a triangle are equal. Each angle of an equilateral triangle is of 60°. If three sides of one triangle are equal to three sides of the other triangle, then the two triangles are congruent (SSS Congruence Rule).
413991
For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon. Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon. For example, if the measurement of the exterior angle is 60 degrees, then dividing 360 by 60 yields 6.
1147774
Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15. Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.
17805
The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.
895757
The angles in the triangle you drew all add up to 180°. Remember, all angles on a straight line add up to 180°.
468619
You will look at the picture and ask yourself if angles 1 and 8 are alternate exterior angles. If they are, then you know that they are equal to each other. So, if angle 8 is 120 degrees, then so is angle 1. In this case, angles 1 and 8 are alternate exterior angles and therefore angle 1 is also 120 degrees.
151025
To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.
1016340
['A = (sector angle / 360 ) * (pi *r2)', 'A = (sector angle / (2*pi)) * (pi * r2)', 'A = (fraction of the circle) * (pi * r2)']
208832
['Adjacent. The two sides of a triangle which form a particular vertex are referred to as adjacent to that angle. ... ', 'Opposite. ... ', 'Base. ... ', 'Apex. ... ', 'Height. ... ', 'Isosceles Triangle. ... ', 'Equilateral Triangle. ... ', 'Scalene Triangle.']
796233
In the figure, angles 1 and 4 are alternate exterior angles. Angles that are on opposite sides of the transversal of two other lines. Both are internal. They are equals if the two intersected lines by the transversal are parallel.
250867
Apply the equation theta = tan–1(y/x) to find the angle: tan–1(1.0/–1.0) = –45 degrees. However, note that the angle must really be between 90 degrees and 180 degrees because the first vector component is negative and the second is positive.
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1 Answer. Interior angles are measures from one side to an adjacent one INSIDE the polygon. Exterior angles are measures from the adjacent side to an EXTENDED external line from the polygon.
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If we add all three angles in any triangle we get 180 degrees. So, the measure of angle A + angle B + angle C = 180 degrees. This is true for any triangle in the world of geometry. We can use this idea to find the measure of angle(s) where the degree measure is missing or not given.
97954
['Divide the figure into two triangles by drawing a diagonal.', 'Calculate the area of the triangle that has the given angle.', 'Calculate the length of the diagonal using the Law of Cosines.', "Calculate the area of the second triangle using Heron's Formula."]
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['The number of sides of the shape.', 'The angles between the sides of the shape.', 'The length of the sides of the shape.']