Question

0) In a quadrilateral if one pair of opposite sides is equal and parallel, the figure is…………….



1) If one angle of a parallelogram is a right angle, then it is necessarily a …………………………



2) If opposite angles of a quadrilateral are equal, then it is necessarily a ………………………….



3) If the consecutive sides of a parallelogram are equal, then it is necessarily a ………………….



4) Diagonals necessarily bisect opposite angles in a …………………………



5) The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measure of its four angles.



6) The measure of one angle of a parallelogram is 80°. Find the measure of other angles.



7) The sum of interior angles of a polygon of 10 sides is……



8) One of a quadrilateral is 108° and other three angles are equal, then the value of each equal angle is……………………..

9) Exterior angle of a regular polygon is 24°. Fin d the number of sides of the polygon

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Answer 1

Answer:

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Answer 2

Answer:

0. trepezium.

1. rectangle.
2. parallogram.
3. rhombus.
4. rectangle.

5.let the measure of angle be x 2x 3x 4x.

we know that sum of angles of a quardiletral is 360°.

so, x+2x+3x+4x=360°

10x=360°

x=36°

so, 2x=2×36°=72°

3x= 3×36°=108°

4x=4×36°=144°

6.In a parallogram opposite angles are equal.

so, angle opposite to 80° will be 80°.let other angle be x, then angle opposite to x will be x.

now, x+x+80°+80°=360°

2x=360°-160°

x=200°/2

x=100°

so, the measure of other angles is 80°,100°,100°.

7.1440°

8. Let the value, of other three angles be x.

so, by angle sum property of quardiletral, we have

x +x+x+108°=360°

3x=360°-108°

x=252°/3

x=84°

so, value of other three angles is 84°, since all three angles are equal.

9. By the formula,

exterior angle=360°/number of sides(n)

so, 24°=360°/n

24°×n=360°

n=360/24

n=15,

therefore, number of sides of the polygon=15