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
3.8k views
in Angles and Pairs of Angles by (47.6k points)
closed by

Using the measures of the angles given in the figure alongside, find the measures of the remaining three angles.

1 Answer

+1 vote
by (46.9k points)
selected by
 
Best answer

m∠EOD = m∠AOB = 8y ….(vertically opposite angles) 

∠FOL, ∠EOD and ∠COD form a straight angle. 

∴ m∠FOE + m∠EOD + m∠COD = 180° 

∴ 4y + 8y + 6y = 180 

∴ 18y = 180 

∴ y = 180/18

∴ y = 10 

m∠EOD = 8y = 8 x 10 = 80° 

m∠AOF = m∠COD ….(Vertically opposite angles) 

= 6y = 6 x 10 = 60° 

m∠BOC = m∠FOE ….(Vertically opposite angles) 

= 4y = 4 x 10 = 40° 

∴ The measures of ∠EOD, ∠AOF and ∠BOC are 80° , 60° and 40° respectively.

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.

...