In a trapezium ABCD, side AB is parallel to side DC. If ∠A=x∘ and ∠D=(3x−20)∘, value of x=?
x=50∘
x=60∘
x=80∘
x=20∘
∠A=x∘ and ∠D=(3x−20)∘
∠A+∠D=180∘ (Co-interior angles)
⇒x∘+(3x−20)∘=180∘
⇒4x−20∘=180∘
⇒4x=180∘+20∘
⇒4x=200∘
⇒x=50∘
In a trapezium ABCD, side AB is parallel to side DC. If ∠A=72∘ and ∠C=120∘, then values of ∠B and ∠D are -
In quadrilateral ABCD, side AB is parallel to side DC and ∠A : ∠D = 1 : 2 and ∠C : ∠B = 4 : 5. Measure of angles of quadrilateral ABCD are
The following figure shows a quadrilateral in which sides AB and DC are parallel. If ∠A:∠D=4:5, ∠B=(3x−15)o and ∠C=(4x+20)o, find each angle of the quadrilateral ABCD.