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There are 540 interior degrees in a pentagon

So: 540-112-102-118-107 = an angle of 101 degrees

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Q: How do you find the value of the fifth angle in a pentagon given angles 112 102 118 and 107?
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Related questions

What is the sum of the angles of a pentagon?

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.


Is it possible to have a pentagon with 2 obtuse angles and 3 acute angles?

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.


The angles of a triangle that are not adjacent to a given exterior angle?

Remote interior angles


How do you find the missing angle of a triangle if you are given two of the angles?

180 minus two known angles = unknown angle


What shape has 5 sides an 5 angles?

A pentagon seems to fit the given description.


What is the name given to angles that form a right angle when added together?

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.


If an angle of rhombus is 35degrees what are the remaining three 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.


How do you find the missing angle of a square with no given angles?

All the angles of a square are 90 degrees.


What kind of angle is each angles in the given figure?

They can be: acute, right angle, obtuse or reflex


What does it mean for a side or angle to be included?

The 'included side' is the side between the two given angles. The 'included angle' is the angle between the two given sides.


What states that if two angles are complements of the same angle then the two angles are congruent?

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.


How much degrees is a pentagon?

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