There are 540 interior degrees in a pentagon
So: 540-112-102-118-107 = an angle of 101 degrees
A pentagon seems to fit the given description.
Right angles aren't formed by other angles - it is already an angle itself. However, if you bisect a right angle, it becomes two acute angles.
The opposite angles of a rhombus are congruent. So the angle opposite to the given angle is also 35 degrees. The consecutive angles of a rhombus are supplementary (add up to 180 degrees). So the supplement angle of the given angle is 145 degrees (180 - 35), and the angle opposite to that angle also will be 145 degrees.
All the angles of a square are 90 degrees.
They can be: acute, right angle, obtuse or reflex
For interior, the angle sum is 540 degrees, for exterior, the angle sum is 1260 degrees. * * * * * Partially correct! The sum of the exterior angles of any polygon is 360 degrees. The exterior angle is the supplement of the interior angle (180 - interior), NOT the reflex angle (360- interior). So the sum given 1260, which is based on the reflex angles is incorrect.
The total of the internal angles of a pentagon must equal 540 degrees. Three acute angles sum to less than 270 degrees, leaving at least 270 degrees for the obtuse angles if possible. Half of 270 is 135 degrees, which is an obtuse angle. Therefore, a pentagon with angles of 136, 137, 89, 89, and 89 degrees would satisfy the conditions given, and there are many other possibilities.
Remote interior angles
180 minus two known angles = unknown angle
A pentagon seems to fit the given description.
Right angles aren't formed by other angles - it is already an angle itself. However, if you bisect a right angle, it becomes two acute angles.
The opposite angles of a rhombus are congruent. So the angle opposite to the given angle is also 35 degrees. The consecutive angles of a rhombus are supplementary (add up to 180 degrees). So the supplement angle of the given angle is 145 degrees (180 - 35), and the angle opposite to that angle also will be 145 degrees.
All the angles of a square are 90 degrees.
They can be: acute, right angle, obtuse or reflex
The 'included side' is the side between the two given angles. The 'included angle' is the angle between the two given sides.
Complementary angles are those that add up to 90° Thus all angles complementary to a given angle must all be the same angle (90° - the_given_angle), ie they are all congruent angles.
The sum of internal angles of a shape is given by the equation 180(n-2) where n is the number of sides. For a pentagon, which has 5 sides, this would be 180x3 = 540. The sum of external angles of a shape is given by (180-(x/n))n where n is the number of sides and x is the sum of internal angles. For a pentagon, this would be 5x(180-540/5) = 360