Draw a parallelogram and
1. Measure opposite sides
2. Measure opposite angles
3. Measure the length of two diagonals
4. Add any two pairs of adjacent angles
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1) In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
Area: b × h (base × height); ab sin θ (product of adjacent sides and sine of the vertex ...
Properties: convex
Symmetry group: C2,+
2) If angle A measures 100 degrees, then angle B, its opposite, will also measure 100 degrees. This means that the two angles combined equals 200 degrees. Remember that two sets of opposite angles measures 360 degrees (a full circle), so subtract 360 - 200 = 160.
3) In a parallelogram, the diagonals bisect each other, so you can set the labeled segments equal to one another and then solve for . \displaystyle 20 - 3x = 2x - 4 \rightarrow 24 = 5x \rightarrow 4.8 = x. Then, substitute 4.8 for in each labeled segment to get a total of 11.2 for the diagonal length.
4) 180°
Therefore, the sum of any two adjacent angles of a parallelogram is equal to 180°. Hence, it is proved that any two adjacent or consecutive angles of a parallelogram are supplementary.
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