what do alternate exterior angles equal?
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Alternate exterior angles are angles that are on opposite sides of the transversal and outside the two lines. If the two lines are parallel, then the theorem tells you that the alternate exterior angles are congruent to each other.
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1 Answer. Interior angles are measures from one side to an adjacent one INSIDE the polygon. Exterior angles are measures from the adjacent side to an EXTENDED external line from the polygon.
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Alternate Interior Angle Theorem The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
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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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Answer and Explanation: No alternate interior angles are not complementary. Alternate interior angles :- When two parallel lines are cut by a transversal line , the pairs...
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['The opposite angles of a parallelogram are equal.', 'The opposite sides of a parallelogram are equal.', 'The diagonals of a parallelogram bisect each other.']
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1 Answer. The difference be-tween the sum of the exterior angles and the sum of the interior angles is 180∘ .
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Opposite angles of a rhombus have equal measure. The two diagonals of a rhombus are perpendicular; that is, a rhombus is an orthodiagonal quadrilateral. Its diagonals bisect opposite angles.
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Exterior Angle Theorem The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.
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Now, a sufficient condition for the alternate angles not being equal is the following partial inverse to Proposition 28: If a straight line that meets two straight lines makes the interior angles on the same side less than two right angles, then those two straight lines, if extended, will meet on that same side.
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The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal. The diagonals of a parallelogram bisect each other.
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The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent . So, in the figure below, if k∥l , then ∠2≅∠8 and ∠3≅∠5 . Proof.
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['three different angle measures that add up to 180 degrees.', 'three sides of different lengths, or noncongruent sides.']
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Similarly, we also have alternate exterior angles that are located outside of the two intersected lines and on opposite sides of the transversal. An example of this relationship would be angles 1 and 8, as well as angles 4 and 5. The last angle relationship is consecutive interior angles.
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Alternate angles are always equal. Corresponding angles are always equal. Allied (or co-interior) angles are supplementary. Vertically opposite angles are always equal.
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['Opposite angles are equal.', 'Opposite sides are equal and parallel.', 'Diagonals bisect each other.', 'Sum of any two adjacent angles is 180°']
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Two pairs of opposite angles are equal in measure. The diagonals bisect each other. One pair of opposite sides is parallel and equal in length. Adjacent angles are supplementary.