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If five angles of a heptagon have measures of 80 degrees 85 degrees 175 degrees 90 degrees140 degrees and if the other two angles are congruent what is the measure of each of the other two angles?
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.
One angle of a triangle measures 30 degrees If the measures of the other two angles are in the ratio 37 the measure of the largest angle of the triangle is?
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.
Approximately how many degrees are in the measure of an interior angle of a regular heptagon?
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
Give example of complementary and supplementary angles?
complementary angles are two angles whose total degrees adds up to 90o supplementary angles are two angles whose total degrees adds up to 180o
Total degrees in a square?
All internal angles of a quadrilateral like a square sum to 360 degrees.
What is the measure af the exterior angles of a 12 sided polygon?
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.
Find angle x on a triangle shape if two angles are 35 and 28 degrees?
the total sum of the angles of a triangle should total 180 degrees so 35+28= 63 180 - 63= 117 X= 117 degrees
If five angles of a heptagon have measures of 80 degrees 85 degrees 175 degrees 90 degrees140 degrees and if the other two angles are congruent what is the measure of each of the other two angles?
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.
What are the angles of a parallelogram when two of its interior angles are 2x degrees and x degrees?
If: 2x+2x+x+x = 360 degrees then x = 60 degrees. Therefore angles are: 60 degrees, 60 degrees, 120 degrees and 120 degrees
What is the interior angle and exterior angle of a seven sided polygon?
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.
Regular polygon with 174 degrees interior?
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
What is the difference between suppllementary and complimentary angles?
Complementary angles total 90 degrees. Supplementary angles total 180 degrees.
In a closed figure of 6 sides what is the total internal angles?
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.
What is the complementary angles of x-40 degrees?
It is (130 - x) degrees.
What is the total of angles added up together in a pentagon?
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.
An Icosagon is a 20 sided polygon What is the sum of its interior angles?
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.
A regular hexagon has six angles that are all equal if the total measure of the angles is 720 how many degrees is each angle of the hexagon?
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.
