Question

1. The measure of three angles of a quadrilateral is 30˚, 70˚ and 100˚. Find out
the measurement of fourth angle.
(1)
2. The measurement of one side of an equilateral quadrilateral is 10 cm. What is
the perimeter of the quadrilateral?
(1)
3. The perimeter of a square is 100 cm. What will be the measurement of each
of its side?

Answer 1

1) Since the sum of the angles of a quadrilateral is 360° we will add all the given angles and then we will subtract it from 360 to get the fourth angle

30 + 70 + 100= 200

360-200= 160°

2) Since it is given that the quadrilateral is equilateral so it means that it's all the sides will be equal and since there are 4 sides in a quadrilateral so we will multiply the measurement of side by 4

10 x 4= 40cm

3) Formula for the perimeter of a square is 4 x side

So the perimeter of this square will be 4 x 100= 400cm

Answer 2

$\huge\purple{Required \: Answer :}$

1.

Measures of three angle of a quadrilateral is -

30°, 70° and 100°

All angles sum of a quadrilateral measures 360 , Hence,

$30 + 70 + 100 + x = 360 \\ 200 + x = 360 \\ x = 360 - 200 \\ x = 160$

$\huge{x = 160°}$

2.

Measurement of one side of an equilateral quadrilateral is -

10 cm

Equilateral Quadrilateral has all sides equal , Hence,

Perimeter -

$4 \times side \\ 4 \times 10 \\ = 40$

$\huge{Perimeter = 40 \: cm}$

3.

Perimeter of Square - 100 cm

$perimeter \: = 4 \times side \\ 100 \: cm = 4 \times side \: \\ side = \frac{100 \: cm}{4} \\ side = 25 \: cm$

Measurement of Each Side Of a Square is $\huge{25 \: cm}$ .

$\huge{Thanks}$