Advertisements
Advertisements
प्रश्न
Find the value of x in the trapezium ABCD given below.
Advertisements
उत्तर
Given, A trapezium ABCD in which ∠A = (x – 20)°, ∠D = (x + 40)°
Since, In a trapezium, the angle on either side of the base are supplementary,
Therefore, (x – 20)° + (x + 40)° = 180°
⇒ x – 20° + x + 40° = 180°
⇒ 2x + 20° = 180°
⇒ 2x = (180° – 20°)
⇒ 2x = 160°
⇒ x = 80°
APPEARS IN
संबंधित प्रश्न
All squares are trapeziums.
In the given figure CE || DB then the value of x° is
Which of the following figures do not satisfy any of the following properties?
- All sides are equal.
- All angles are right angles.
- Opposite sides are parallel.
A quadrilateral in which a pair of opposite sides is parallel is ______.
In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______.
All angles of a trapezium are equal.
Every rhombus is a trapezium.
In trapezium HARE, EP and RP are bisectors of ∠E and ∠R respectively. Find ∠HAR and ∠EHA.
Construct a trapezium ABCD in which AB || DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.
Construct a trapezium ABCD where AB || CD, AD = BC = 3.2 cm, AB = 6.4 cm and CD = 9.6 cm. Measure ∠B and ∠A.
[Hint: Difference of two parallel sides gives an equilateral triangle.]
