Advertisements
Advertisements
प्रश्न
In `square` IJKL, side IJ || side KL, ∠I = 108°, ∠K = 53° then find the measure of ∠J and ∠L.
Advertisements
उत्तर

Line LK || Line IJ And line IL is the transversal.
∠L + ∠I = 180° ...(interior angle)
∴ ∠L + 108° = 180°
∴ ∠L = 180° – 108°
∴ ∠L = 72°
Line LK || Line IJ and line JK are transversal lines.
∠K + ∠J = 180° ...(interior angle)
∴ 53° + ∠J = 180°
∴ ∠J = 180° – 53°
∴ J = 127°
APPEARS IN
संबंधित प्रश्न
Find m∠C in the following figure if `bar(AB) || bar(DC)`

All parallelograms are trapeziums.
In `square`ABCD, side BC || side AD, side AB ≅ side DC If ∠A = 72° then find the measure of ∠B and ∠D.
In an Isosceles-trapezium, show that the opposite angles are supplementary.
Which of the following figures satisfy the following property?
- Only one pair of sides are parallel.
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.
Which of the following properties describe a trapezium?
PQRS is a trapezium in which PQ || SR and ∠P = 130°, ∠Q = 110°. Then ∠R is equal to ______.
A quadrilateral in which a pair of opposite sides is parallel is ______.
In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______.
Every trapezium is a parallelogram.
Of the four quadrilaterals-square, rectangle, rhombus and trapezium-one is somewhat different from the others because of its design. Find it and give justification.
In a quadrilateral HOPE, PS and ES are bisectors of ∠P and ∠E respectively. Give reason.
ABCD is a trapezium such that AB || CD, ∠A : ∠D = 2 : 1, ∠B : ∠C = 7 : 5. Find the angles of the trapezium.
Construct a trapezium ABCD in which AB || DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.
Construct a trapezium RISK in which RI || KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I = 60°.
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.]
