AptiDude AptiDude

ABCD is a cyclic quadrilateral and BC is a diameter of the circle on which points A and D also lie. Given that ∠ B C A = 19 ∘ \angle BCA = 19^\circ ∠ ...

SSC SSC CGL Tier 2 Medium Triangle and its various kinds of centres MCQ

Question

ABCD is a cyclic quadrilateral and BC is a diameter of the circle on which points A and D also lie. Given that ∠BCA=19∘\angle BCA = 19^\circ and ∠CAD=32∘\angle CAD = 32^\circ, find the measure of ∠ACD\angle ACD.

Options

A.

41∘41^\circ

B.

38∘38^\circ

C.

40∘40^\circ

D.

39∘39^\circ

cyclic quadrilateralcircleangle propertiesdiametergeometry

Solve This Question

Get instant feedback with detailed step-by-step solution

Start Solving →

Continue Practicing

Similar Questions

SSC Medium

ΔABC is inscribed in a circle with centre O. If the sides of the triangle are $AB = 21 \text{ cm}$, ...
SSC Easy

If the areas of two similar triangles are in the ratio $121 : 225$, what would be the ratio of the c...
SSC Easy

ABCD is a quadrilateral with diagonal $BD = 70 \text{ cm}$. Perpendiculars from vertices $A$ and $C$...
SSC Medium

In a circle centered at $O$, a diameter $AB$ is extended to a point $C$ outside the circle. If $CD =...
SSC Medium

In a circle centered at $O$, a diameter $AB$ is extended to a point $C$ outside the circle. $CD$ is ...
SSC Easy

In a circle with centre $O$, an arc $ABC$ subtends an angle of $134^ ext{o}$ at the centre of the ci...