Advertisements
Advertisements
प्रश्न
In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______.
Advertisements
उत्तर
In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = 80°.
Explanation:

In a trapezium, we know that, the angles on either side of the base are supplementary.
So, In trapezium ABCD, given AB || CD
∴ ∠A + ∠D = 180°
⇒ 100° + ∠D = 180°
⇒ ∠D = 180° – 100°
∴ ∠D = 80°
APPEARS IN
संबंधित प्रश्न
Explain how this figure is a trapezium. Which of its two sides are parallel?

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 properties describe a trapezium?
A quadrilateral in which a pair of opposite sides is parallel is ______.
All angles of a trapezium are equal.
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.
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 RISK in which RI || KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I = 60°.
