Advertisements
Advertisements
प्रश्न
PQRS is a trapezium in which PQ || SR and ∠P = 130°, ∠Q = 110°. Then ∠R is equal to ______.
पर्याय
70°
50°
65°
55°
Advertisements
उत्तर
PQRS is a trapezium in which PQ || SR and ∠P = 130°, ∠Q = 110°. Then ∠R is equal to 70°.
Explanation:
Given, PQRS is a trapezium in which PQ || SR
∠Q + ∠R = 180° ...(∵ Interior angles on the same side of a transversal are supplementary)
⇒ 110° + ∠R = 180°
⇒ ∠R = 180° – 110°
∴ ∠R = 70°
APPEARS IN
संबंधित प्रश्न
Explain how this figure is a trapezium. Which of its two sides are parallel?
All parallelograms 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 properties describe a trapezium?
A quadrilateral in which a pair of opposite sides is parallel is ______.
In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______.
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.
ABCD is a trapezium such that AB || CD, ∠A : ∠D = 2 : 1, ∠B : ∠C = 7 : 5. Find the angles of the trapezium.
