what is it called when two angles add up to 180 degrees?
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Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
51991
Since the three interior angles of a triangle add up to 180 degrees, in a right triangle, since one angle is always 90 degrees, the other two must always add up to 90 degrees (they are complementary). The side opposite the right angle is called the hypotenuse. The sides adjacent to the right angle are the legs.
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So the two base angles must add up to 180-40, or 140°. Since the two base angles are congruent (same measure), they are each 70°. If we are given a base angle of say 45°, we know the base angles are congruent (same measure) and the interior angles of any triangle always add to 180°.
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Explanation: Let the 2 supplementary angles be xandy such that x<y . Since they are supplementary, it implies that x+y=180∘ . Since the difference between the angles is 80∘ , it implies that y−x=80∘ .
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In a Euclidean space, the sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at each vertex, bounded by a pair of adjacent sides.
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The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees.
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Supplementary angles are two angles whose sum is 180 degrees while complementary angles are two angles whose sum is 90 degrees. Supplementary and complementary angles do not have to be adjacent (sharing a vertex and side, or next to), but they can be. ... The same is true for complementary angles.
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This rectangle has four 90 degree angles adding up to 360 degrees. Since the triangles are congruent each triangle has half as many degrees, namely 180. ... But if you look at the two right angles that add up to 180 degrees so the other angles, the angles of the original triangle, add up to 360 - 180 = 180 degrees.
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The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary. Then, AD ∥ BC and AB is a transversal. ... Thus, the sum of any two adjacent angles of a parallelogram is 180°. Hence, any two adjacent angles of a parallelogram are supplementary.
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Opposite Angles Theorem. ... In a cyclic quadrilateral, opposite angles are supplementary. If a pair of angles are supplementary, that means they add up to 180 degrees. So if you have any quadrilateral inscribed in a circle, you can use that to help you figure out the angle measures.
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As ABCD is a cyclic quadrilateral, so the sum of a pair of two opposite angles will be 180o. The value of angle D is 120o.
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Co-interior angles lie between two lines and on the same side of a transversal. In each diagram the two marked angles are called co-interior angles. If the two lines are parallel, then co-interior angles add to give 180o and so are supplementary.
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Yes opposite angles of a trapezoid are supplementary. Supplementary angles of a trapezoid is defined as the sum of two opposite angles is 180...
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Alternate angles are equal. ... d and f are interior angles. These add up to 180 degrees (e and c are also interior). Any two angles that add up to 180 degrees are known as supplementary angles.
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Finally, in each diagram below, the two marked angles are called co-interior angles and lie on the same side of the transversal. If the lines AB and CD are parallel, then it is obvious that the co-interior angles are not equal but it turns out that they are supplementary, that is, their sum is 180° .
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Two angles are said to be supplementary when the sum of the two angles is 180°. ... Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6.
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Each pair form supplementary angles because their sum is 180o . There might be two angles that sum up to 180o , but that do not form a linear pair. For example, two angles in a parallelogram that share a common side.