Advertisements
Advertisements
Question
In the given figure CE || DB then the value of x° is
Options
45°
30°
75°
85°
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
All parallelograms are trapeziums.
All squares are trapeziums.
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 an Isosceles-trapezium, show that the opposite angles are supplementary.
Which of the following figures satisfy the following property?
- Only one pair of sides are parallel.
Which of the following properties describe a trapezium?
A quadrilateral in which a pair of opposite sides is parallel is ______.
All angles of a trapezium are equal.
In a quadrilateral HOPE, PS and ES are bisectors of ∠P and ∠E respectively. Give reason.
In the following figure, AB || DC and AD = BC. Find the value of x.