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CBSE Class 8 Answered

three angles of a  quadrilateral are in the ratio  4:5:3.the diffrence of the least and the greatest of these angles is 42 degrees.find all the four angles of the quadrilateral.
Asked by arajeevshashank | 25 May, 2018, 05:31: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space common space ratio space be space straight x. Therefore space the space angles space of space Quadrilateral space are space 4 straight x comma space 5 straight x space and space 3 straight x. According space to space the space condition colon 5 straight x space minus space 3 straight x space equals space 42 Therefore comma space straight x space equals space 21 Therefore space the space angles space of space Quadrilateral space are space 4 straight x space equals space 4 space cross times space 21 space equals space 84 degree 5 straight x space equals space 5 space cross times space 21 space equals space 105 degree 3 straight x space equals space 3 space cross times space 21 space equals space 63 degree The space 4 th space angle space of space straight a space Quadrilateral space equals space 360 degree space minus space left parenthesis 84 degree plus space 105 degree plus space space 63 degree right parenthesis..... space space space space space space space sum space of space all space the space angles space of space straight a space Quadrilateral space equals space 360 degree space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 108 degree end style
Answered by Yasmeen Khan | 25 May, 2018, 06:05: PM

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