Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
2.1k views
in Quadrilaterals by (56.3k points)

The angles of a quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral.

1 Answer

+1 vote
by (30.5k points)
selected by
 
Best answer

The angles of a quadrilateral are 3x, 5x, 9x and 13x respectively. 

We know, sum of all interior angles of a quadrilateral = 360° 

Therefore, 3x + 5x + 9x + 13x = 360° 

30x = 360° 

or x = 12° 

Hence, angles measures are 

3x = 3(12) = 36° 

5x = 5(12) = 60° 

9x = 9(12) = 108° 

13x = 13(12) = 156°

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...