Q. 225.0( 11 Votes )

# The angles of a c

Answer :

We know that, by property of cyclic quadrilateral,

Sum of opposite angles = 180o Since and So, 7x + y = 170 …(i)

and Since and So, 5x + 3y = 190 …(ii)

On multiplying Eq. (i) by 3 and then subtracting, we get

3(7x + y) – (5x + 3y) = 3(170) – 190

16x = 320

x = 20 On putting x = 20 in Eq. (i), we get

7(20) + y = 170

So, y = 30 And hence   = 20 + 30 = 50  Hence, the required values of x and y are 20 and 30 respectively and the values of the four angles i.e., and , are 130 , 100 , 50 , and 80 , respectively.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Two Stories about Flying39 mins  Transportation in One Shot42 mins  Human Reproduction in One Shot45 mins  Extraction of Metal56 mins  Outcomes of Democracy43 mins  Purification of Metals60 mins  Classification of Acid44 mins  Application of Trigo Important Questions44 mins  Trigonometric Ratios of Specified Angles38 mins  Convex Mirror38 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Solve each of theRS Aggarwal - Mathematics

If 2x – 3y = 7 anRD Sharma - Mathematics

Solve the followiRD Sharma - Mathematics