Question
Find the measure of x.
- 10
- 12
- 3
- 4
Hint:
diagonals of a parallelogram bisect each other
The correct answer is: 3
3
By property of parallelogram, we know that the diagonals of a parallelogram bisect each other. Hence, from the figure, we can infer that WP = PY
Or, 10-x = 3x – 2 => 12 = 4x => x = 12/4 => x = 3
Bisection means to divide into 2 equal parts in the 1: 1 ratio. diagonals of a parallelogram bisect each other but not at right angles. a square is a special case of a parallelogram where the diagonals intersect at 90 degrees.
Related Questions to study
A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.
A parallelogram is a 2D polygon which has 2 sets of equal and parallel sides which are opposite to each other.
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The sum of angles of the given figure is _____.
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The sum of angles of the given figure is _____.
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Also,
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Find the sum of measures of interior angles of a nonagon.
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What is the measure of A?
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What is the measure of A?
Properties of polygons state several rules for solving such problems. Sum of internal angles = (n-2) x 180 degrees. sum of external angles of a polygon = 360 degrees.