Advertisements
Advertisements
प्रश्न
PQRS is a trapezium in which PQ || SR and ∠P = 130°, ∠Q = 110°. Then ∠R is equal to ______.
विकल्प
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?
Find m∠C in the following figure if `bar(AB) || bar(DC)`
In `square`ABCD, side BC || side AD, side AB ≅ side DC If ∠A = 72° then find the measure of ∠B and ∠D.
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.
In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______.
Every rhombus is a trapezium.
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.
In a quadrilateral HOPE, PS and ES are bisectors of ∠P and ∠E respectively. Give reason.
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.]
