Therefore, the obtuse angle between the bisectors is 180° - (1/2)150° = 180°- 75° = 105°. By dividing a quadrilateral into two triangles, any unknown angle can be found if one of the three conditions are true. How to Label Angles. And the two straight sides are called arms. Calculations at a general, convex quadrilateral or quadrangle. A quadrilateral has 4 angles totalaling 360 degrees. The calculation is done by fragmenting the quadrilateral into triangles, which can be calculated with the according formulas.Enter the first three lengths a, b and c and the two angles between them, β and γ. An obtuse angle is an angle greater than 90 degrees. It could have three obtuse angles as you said, but NOT four obtuse angles. The corner point of an angle is called the vertex. If all 4 angles are right angles the figure is a square or a rectangle. everybody saying no... not reading the question properly. The quadrilateral is a parallelogram. Angles in a quadrilateral add up to 360° and opposite angles are equal. It is more than 90° and less than 180°. So 91 + 91 + 91 + 87 degrees could be an example. 1. give the angle a name, usually a lower-case letter like a or b, or sometimes a Greek letter like α (alpha) or θ (theta) 2. or by the three letters on the shape that define the angle, with the middle letter being where the angle actually is (its vertex). The obtuse angle is the smaller angle. Hence, A quadrilateral Can have 3 obtuse angles... Now Lets imagine a Quadrilateral With 3 sides of its angle as 89° So it Fourth side is [360°-3(89°)=360°-267°=]103°. An angle equal to 1 / 2 turn (180° or π radians) is called a straight angle. Divide the quadrilateral into two triangles.

If the adjacent sides are equal it is a square and the diagonals bisect each other at right angles. Since the sum of these two angles is 210°, sum of the other two is 150°.

So 91 + 91 + 91 + 87 degrees could be an example. Angles larger than a straight angle but less than 1 turn (between 180° and 360°) are called reflex angles.

The smaller angle is an Obtuse Angle, but the larger angle is a Reflex Angle. Opposite angles are equal. Finding the interior angles of a quadrilateral is a relatively simple process, and can be done if three angles, two angles, or one angle and four sides are known. Quadrilaterals can have acute angles or obtuse angles or right angles. A quadrilateral is a four-sided figure....if you add the four angles made by the the four sides inside of it , they total 360 degrees. It could have three obtuse angles as you said, but NOT four obtuse angles. There are two main ways to label angles: 1. give the angle a name, usually a lower-case letter like a or b, or sometimes a Greek letter like α (alpha) or θ (theta) 3 Angles . An obtuse angle is an angle greater than 90 degrees. Angles larger than a right angle and smaller than a straight angle (between 90° and 180°) are called obtuse angles ("obtuse" meaning "blunt"). Since an obtuse angle is any angle with a measurement over 90 degrees, it is possible to have a quadrilateral with 3 obtuse angles. Since an obtuse angle is an angle of greater than 90° and less than 180°, 4 obtuse angles would have to sum to greater than 360° at a minimum, which isn’t possible for a quadrilateral. If you choose the larger angle you have a Reflex Angle (more than 180° but less than 360°) instead: Since an obtuse angle is any angle with a measurement over 90 degrees, it is possible to have a quadrilateral with 3 obtuse angles.

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