Total interior angles ((2 x 7) - 4) right angles ie 900 degrees. Given angles total 570 degrees so each of the other angles is (900 - 570)/2 ie 165 degrees.
The largest angle is 105 degrees. The interior angles of any triangle total 180 degrees. Subracting the 30 degrees of the known angle leaves 150 degrees. The remaining 2 angles must total 150 degrees, and be in the proportion 3:7. The proportion can be stated: 3 is to 7 as x is to 150 - x. Cross-multiplying gives the equations: 450 - 3x = 7x 450 = 10x 45 = x So the remaining angles are 45 degrees and 105 degrees. The angles add to 150 degrees and are in the correct proportion, 3:7, since 3 X 15 = 45, and 7 X 15 = 105.
The measure of the interior angles of a regular heptagon is approximately 128.6 degrees. There are 2 ways to work this out: Find the total of all the angles and divide by 7: In an n-sided figure the interior angles sum to (n-2) x 180 degrees. For a heptagon, n=7, so total angles = (7-2) x 180 = 5 x 180 = 900 degrees So each angle = 900 / 7 ~= 128.6 degrees. Calculate the exterior angle and then subtract from 180 degrees to get the interior angle: The sum of the exterior angles of a polygon is 360 degrees; Divide 360 degrees by the number of angles (= number of sides) Exterior angle of heptagon is 360 / 7 ~= 51.4 degrees; Interior angle ~= 180 - 51.4 = 128.6 degrees
complementary angles are two angles whose total degrees adds up to 90o supplementary angles are two angles whose total degrees adds up to 180o
All internal angles of a quadrilateral like a square sum to 360 degrees.
Internal angles total 20 x 90 ie 1800 degrees. External angles therefore total (12 x 180) - 1800 ie 360 degrees, making each angle 30 degrees.
the total sum of the angles of a triangle should total 180 degrees so 35+28= 63 180 - 63= 117 X= 117 degrees
Total interior angles ((2 x 7) - 4) right angles ie 900 degrees. Given angles total 570 degrees so each of the other angles is (900 - 570)/2 ie 165 degrees.
If: 2x+2x+x+x = 360 degrees then x = 60 degrees. Therefore angles are: 60 degrees, 60 degrees, 120 degrees and 120 degrees
Interior angles total ((2 x 7) - 4) right angles which is 900 degrees. Exterior angles total 360 degrees. This is true of all convex polygons.
Your polygon has 60 sides. Total interior angles 116 x 90 = 10440 degrees. This works because interior angles of any n-sided polygon total (2n - 4 right angles or 180n - 360 degrees
Complementary angles total 90 degrees. Supplementary angles total 180 degrees.
In a closed figure of n sides the internal angles total (2n - 4) right angles, so in this case the sum is (12 - 4) x 90 degrees, ie 720 degrees.
It is (130 - x) degrees.
For a pentagon, which has 5 sides, you can use the formula: Total Sum of Interior Angles = (5 - 2) * 180 degrees Total Sum of Interior Angles = 3 * 180 degrees Total Sum of Interior Angles = 540 degrees So, the total sum of the interior angles in a pentagon is 540 degrees.
The interior angles of any n-sided polygon total (2n - 4) right angles. In this case n = 20 so angles total 36 x 90 degrees ie 3240 degrees. If it's a regular figure each angle is 162 degrees.
This is a simple equation problem. You know that there are 6 angles in total and that each of the angles is the same degree (x). You know that the total of all 6 angles put together is 720.Beginning equation:6x = 720Divide both sides by 6:x = 120Each angle of the hexagon is 120 degrees.