Advertisements
Advertisements
Question
PQRS is a trapezium in which PQ || SR and ∠P = 130°, ∠Q = 110°. Then ∠R is equal to ______.
Options
70°
50°
65°
55°
Advertisements
Solution
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
RELATED QUESTIONS
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 in following figure. side BC || side AD and if side BA ≅ side CD then prove that ∠ABC ≅ ∠DCB.
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.
A quadrilateral in which a pair of opposite sides is parallel is ______.
Every rhombus is a trapezium.
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.
