1. In the given figure, POQ is a diameter and PQRS is a cyclic quadrilateral. If ∠PSR = 130°, then the value of ∠RPQ is





Write Comment

Type in
(Press Ctrl+g to toggle between English and the chosen language)

Comments

  • By: anil on 05 May 2019 01.53 am
    As we know that it is a cyclic quadrilateral , then all points P, Q R ,S are on circumferene of ceircle we know sum of opposite angles in cyclic quad. = 180 Hence , ∠P + ∠R = 180 ∠S + ∠Q = 180
    ∠S = 130 , so ∠Q = 50
    If PQ is a diameter , then ∠PRQ = 90 Sum of angles in a traingle = 180 Hence ∠RPQ = 180 - (90+50) = 40
Tags
Show Similar Question And Answers
QA->The minimum number of edges in a connected cyclic graph on N vertices is :....
QA->Who holds the Guinness World Record for “The Fastest time to travel the Indian Golden Quadrilateral on foot (female)”?....
QA->A cyclist goes 40 km towards East and then turning to right he goes 40 km. Again he turn to his left and goes 20 km. After this he turns to his left and goes 40 km, then again turns right and goes 10km. How far is he from his starting point?....
QA->On November 30, 2014, the Simon Wiesenthal Center reported that a senior Nazi figure who centrally involved in the implementation of the Holocaust had died in Syria around 2010, or four years earlier. Who is that Nazi figure?....
QA->Jose travels 7 km to the north.Then again he turns to the right and walks 3 km.Then again he turns to his right and moves 7 km forward.How many kilometers away is he from the starting point?....
MCQ->In the given figure, POQ is a diameter and PQRS is a cyclic quadrilateral. If ∠PSR = 130°, then the value of ∠RPQ is ....
MCQ->PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR?....
MCQ-> are followed by two statements labelled as I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below:A. Statement I alone is sufficient to answer the question. B. Statement II alone is sufficient to answer the question. C. Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question. D. Either Statement I or Statement II alone is sufficient to answer the question. E. Neither Statement I nor Statement II is necessary to answer the question.Let PQRS be a quadrilateral. Two circles O1 and O2 are inscribed in triangles PQR and PSR respectively. Circle O1 touches PR at M and circle O2 touches PR at N. Find the length of MN. I. A circle is inscribed in the quadrilateral PQRS. II. The radii of the circles O1 and O2 are 5 and 6 units respectively.....
MCQ-> The English alphabet is divided into five groups. Each group starts with the vowel and the consonants immediately following that vowel and the consonants immediately following that vowel are included in that group. Thus, the letters A, B, C, D will be in the first group, the letters E, F, G, H will be in the second group and so on. The value of the first group is fixed as 10, the second group as 20 and so on. The value of the last group is fixed as 50. In a group, the value of each letter will be the value of that group. To calculate the value of a word, you should give the same value of each of the letters as the value of the group to which a particular letter belongs and then add all the letters of the word: If all the letters in the word belong to one group only, then the value of that word will be equal to the product of the number of letters in the word and the value of the group to which the letters belong. However, if the letters of the words belong to different groups, then first write the value of all the letters. The value of the word would be equal to the sum of the value of the first letter and double the sum of the values of the remaining letters.For Example : The value of word ‘CAB’ will be equal to 10 + 10 + 10 = 30, because all the three letters (the first letter and the remaining two) belong to the first group and so the value of each letter is 10. The value of letter BUT = $$10 + 2 \times 40 + 2 \times 50 = 190$$ because the value of first letter B is 10, the value of T = 2 $$\times$$ 40 (T belongs to the fourth group) and the value of U = 2 $$\times$$ 50 (U belongs to the fifth group). Now calculate the value of each word given in questions 161 to 165 :AGE
 ....
MCQ->In the given figure. QRTS is a cyclic quadrilateral. If PT = 5 cm. SQ= 4 cm. PS = 6 cm and ∠PQR = 63°. then what is the value (in cm) of TR?  ....
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use
DMCA.com Protection Status Powered By:Omega Web Solutions
© 2002-2017 Omega Education PVT LTD...Privacy | Terms And Conditions