Advertisements
Advertisements
प्रश्न
In a cyclic quadrilaterals ABCD, ∠A = 4x, ∠C = 2x the value of x is
पर्याय
30°
20°
15°
25°
Advertisements
उत्तर
30°
Explanation;
Hint:
∠A + ∠C = 180° ...(Sum of the opposite angle of cyclic quadrilateral is 180°)
4x + 2x = 180°
x = `(180^circ)/6`
= 30°
APPEARS IN
संबंधित प्रश्न
If the non-parallel sides of a trapezium are equal, prove that it is cyclic.
ABC and ADC are two right triangles with common hypotenuse AC. Prove that ∠CAD = ∠CBD.
Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.
In the given figure, ABCD is a cyclic quadrilateral. Find the value of x.

Prove that the circles described on the four sides of a rhombus as diameters, pass through the point of intersection of its diagonals.
In the given figure, O is the centre of the circle such that ∠AOC = 130°, then ∠ABC =

In the figure, ▢ABCD is a cyclic quadrilateral. If m(arc ABC) = 230°, then find ∠ABC, ∠CDA, ∠CBE.

In the following figure, AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of ∠ACD + ∠BED.

If non-parallel sides of a trapezium are equal, prove that it is cyclic.
ABCD is a parallelogram. A circle through A, B is so drawn that it intersects AD at P and BC at Q. Prove that P, Q, C and D are concyclic.
