Advertisements
Advertisements
Question
In the given figure CE || DB then the value of x° is
Options
45°
30°
75°
85°
Advertisements
Solution
85°
Explanation;
Hint:
∠B = 360° – (∠A + ∠D + ∠BCD)
= 360° – (110° + 75° + 60°)
= 360° – 245°
= 115°
∠DBC = 115° – 30°
= 85°
∴ ∠x = 85° .........(BD || CE) ....[Alternate angles are equal]
APPEARS IN
RELATED QUESTIONS
Find m∠C in the following figure if `bar(AB) || bar(DC)`

All parallelograms are trapeziums.
In an Isosceles-trapezium, show that the opposite angles are supplementary.
PQRS is a trapezium in which PQ || SR and ∠P = 130°, ∠Q = 110°. Then ∠R is equal to ______.
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 a quadrilateral HOPE, PS and ES are bisectors of ∠P and ∠E respectively. Give reason.
Construct a trapezium ABCD in which AB || DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.
