What is the sum of angles of quadrilaterals?
The opposite angles of a parallelogram are (3x – 2)° and (50 – x)° the measure of these angles is
The opposite angles in a parallelogram are equal.
So,1st angle=2nd anlge
so, equate both the angles
now, substitute the value of x
1st angle = 3x-2
1st angle = 39-2 = 37o
2nd angle = 50-x
2nd angle = 50-13 = 37o
The diagonals of a rhombus are 10 cm and 24 cm. find the length of a side of the rhombus.
We know that in a rhombus the diagonals bisect each other at 90∘90∘
Hence the length of the rhombus is 13 cm
In quadrilateral PQRS, if ∠P = 60° and ∠Q : ∠R : ∠S = 2 : 3 : 7, then ∠S =
Let ∠Q = 2x, ∠R = 3x and ∠S = 7x
Now, ∠P + ∠Q + ∠R + ∠S = 360°
⇒ 60° + 2x + 3x + 7x = 360°
⇒ 12x = 300°
⇒ x = 300°/ 12 = 25°
∠S = 7x = 7 × 25° = 175°
Which of the following is not a parallelogram?
Both trapezium and parallelogram are quadrilaterals. A parallelogram has two pairs of parallel sides. A trapezoid only has one pair of parallel sides.
Hence, the answer is Trapezium.
The angles of a quadrilateral are (5x)°, (3x + 10)°, (6x – 20)° and (x + 25)°. Now, the measure of each angle of the quadrilateral will be
The angles of a quadrilateral are in the ratio 3:5:9:13. The measure of angles of quadrilateral are:
Let the angles be 3x, 5x, 9x, 13x
3x + 5x + 9x + 12x = 360o.
30x = 360o
x = 120
Angles are 36o, 60o, 108o, 156o.
Two angles of a quadrilateral are 50° and 80° and other two angles are in the ratio 8 : 15. Find the measure of the remaining two angles.
All the angles of a convex quadrilateral are congruent. However, not all its sides are congruent. What type of quadrilateral is it?
All the angles of a convex quadrilateral are congruent .
∴ Each angle = 900
Thus, the quadrilateral can be either square or rectangle.
Since all the sides are not equal, the quadrilateral is a rectangle because in rectangle only opposite sides are equal.
The type of polygon in which its all angles and sides are equal is classified as