Write the magnitude of each angle of a cyclic parallelogram
WBBSE
Class X
Mathematics
Theorems Related To Cyclic Quadrilateral
01 Mark
2024
In a cyclic parallelogram, the opposite angles are supplementary because it is cyclic, and in a parallelogram, the opposite angles are equal.
Let each angle be x and (180° − x).
x = 180° − x
2x = 180°
x = 90°
Therefore, each angle of a cyclic parallelogram is 90°.
Related Questions
More WBBSE Easy level questions
1/12
Q.
BOC is a diameter of a circle whose centre is O. ABCD is a cyclic...
A.
In cyclic quadrilateral ABCD, opposite angles are supplementary ⇒ ∠ABC + ∠ADC...
Q.
ABCD is a cyclic quadrilateral. If ∠ADB = x° and ∠ABD = y° then ∠BCD...
A.
True Explanation: In cyclic quadrilateral ABCD, opposite angles are supplementary. So, ∠BAD...
Q.
What is the relation between the opposite angles of a cyclic quadrilateral?
A.
They are supplementary (sum = 180°). Explanation: Each pair of opposite angles...
Q.
If the opposite angles of a quadrilateral be supplementary, then the vertices of the quadrilateral...
A.
cyclic quadrilateral Explanation: If ∠A + ∠C = 180° (or ∠B +...
Q.
Prove that in a cyclic quadrilateral opposite angles are supplementary.
A.
Given: ABCD is a cyclic quadrilateral of a circle with centre O....
Q.
Prove that a cyclic trapezium is an isosceles trapezium.
A.
ABCD is a cyclic trapezium of which AD || BC AB =...
Q.
ABCD is a cyclic quadrilateral. Bisectors of ∠DAB and ∠BCD intersect the circle at X...
A.
Given: The bisector of ∠DAB and ∠BCD intersect the circle at the...
Q.
Prove that in a cyclic quadrilateral opposite angle are supplementary.
A.
Given: ABCD is a cyclic quadrilateral To prove: ∠ABC + ∠ADC =...
Q.
AB and CD are two chords of a circle. If we extend BA and DC,...
A.
Given, AB and CD are two chords of a circle ABCD is...
Q.
ABCD is a cyclic quadrilateral. Chord DE is the external bisector of ∠BDC. Prove that...
A.
Two angles in circle produced by the arc BC are ∠BAC and...
Q.
Prove that the opposite angles of a cyclic quadrilateral are supplementary.
A.
Given: ABCD is a cyclic quadrilateral of a circle with centre O....
Q.
The angle in the segment of a circle which is greater than a semicircle is...
A.
The angle in the segment of a circle which is greater than...