Advertisements
Advertisements
प्रश्न
In an Isosceles-trapezium, show that the opposite angles are supplementary.
Advertisements
उत्तर
Given : ABCD is isosceles trapezium in which AD = BC
To Prove :
(i) ∠A + ∠C = 180°
(ii) ∠B + ∠D = 180°
Proof : AB || CD.
⇒ ∠A + ∠D = 180°
But ∠A = ∠B [Trapezium is isosceles)]
∠B + ∠D = 180°
Similarly ∠A + ∠C = 180°
Hence the result.
APPEARS IN
संबंधित प्रश्न
Explain how this figure is a trapezium. Which of its two sides are parallel?
All squares are trapeziums.
Which of the following properties describe a trapezium?
Every trapezium is a parallelogram.
In trapezium HARE, EP and RP are bisectors of ∠E and ∠R respectively. Find ∠HAR and ∠EHA.
Find the value of x in the trapezium ABCD given below.
In the following figure, AB || DC and AD = BC. Find the value of x.
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.]
