Advertisements
Advertisements
Question
In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______.
Advertisements
Solution
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
RELATED QUESTIONS
Explain how this figure is a trapezium. Which of its two sides are parallel?
All squares are trapeziums.
In `square` IJKL, side IJ || side KL, ∠I = 108°, ∠K = 53° then find the measure of ∠J and ∠L.
In `square`ABCD, side BC || side AD, side AB ≅ side DC If ∠A = 72° then find the measure of ∠B and ∠D.
Which of the following figures satisfy the following property?
- Only one pair of sides are parallel.
Which of the following properties describe a trapezium?
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.
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.]
