Math, asked by Anonymous, 8 months ago

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Answered by Anonymous
12

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1. b) equal

The diagonals are also of equal length. The base angles of an isosceles trapezoid are equal in measure (there are in fact two pairs of equal base angles, where one base angle is the supplementary angle of a base angle at the other base).

2. c) (a) and (b) both

Because in regular polygon both and sides are equal.

3. c)9

in a regular hexagon there are 9 diagonals.

4. b) decagon

A regular decagon has all sides of equal length and each internal angle will always be equal to 144°

5. a) 360°

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

6. b) 18

number of sides=number of angles

no. of ∠ = \frac{sum of exterior angles}{each angle}

= \frac{360∘}{20∘}

= 18

7. a) square

because in square all angles as well as sides are equal.

8. b) Rhombus

A Rhombus has the properties of a parallelogram as:

Two opposite sides are equal and parallel, opposite angles are equal.

A rhombus has properties of a kite as:

Diagonals meet at a right angle, and one of the diagonal bisects (cuts equally in half) the other.

9. both square and rectangle

10.  b) 144°

let the common angle = x

so, ∠1 = x

∠2 = 2x

∠3 = 3x

∠4 = 4x

sum of all angles in a quadrilateral = 360°

∠1 + ∠2 + ∠3 + ∠4 = 360°

x° + 2x° + 3x° +4x° = 360°

10x° 360°

x = 36

∠1 = x = 36°

∠2 = 2x = 2×36°= 72°

∠3 = 3x = 3×36 = 108°

∠4 = 4x = 4×36° = 144°

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Answered by guptaramkumar713
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