Q1 of 59 Page 83

Four alternative answers for each of the following questions are given. Choose the correct alternative.

In a cyclic ABCD, twice the measure of is thrice the measure of Find the measure of ?


Given that 2∠ A = 3∠ C


We know that in a cyclic quadrilateral opposite angles are supplementary to each other.


⇒∠ A + ∠ C = 180°




⇒∠ C = 72°

More from this chapter

All 59 →
1

Four alternative answers for each of the following questions are given. Choose the correct alternative.

∠ ACB is inscribed in arc ACB of a circle with centre O. If ∠ ACB = 65°,find m(arc ACB).


 1

Four alternative answers for each of the following questions are given. Choose the correct alternative.

Chords AB and CD of a circle intersect inside the circle at point E. If AE = 5.6,EB = 10, CE = 8, find ED.


 1

Four alternative answers for each of the following questions are given. Choose the correct alternative.

Points A, B, C are on a circle, such that m(arc AB) = m(arc BC) = 120°. Nopoint, except point B, is common to the arcs. Which is the type of ∆ ABC?


 1

Four alternative answers for each of the following questions are given. Choose the correct alternative.

Seg XZ is a diameter of a circle. Point Y lies in its interior. How many of the following statements are true?


(i) It is not possible that ∠XYZ is an acute angle.


(ii) ∠ XYZ can’t be a right angle.


(iii) ∠ XYZ is an obtuse angle.


(iv) Can’t make a definite statement for measure of ∠ XYZ.