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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.
