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
1.4k views
in Lines and Angles by (56.3k points)

In figure, three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u.

1 Answer

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

(∠BOD, z); (∠DOF, y ) are pair of vertically opposite angles.

So, ∠BOD = z = 90°

∠DOF = y = 50°

[Vertically opposite angles are equal.] 

Now, x + y + z = 180° [Linear pair] [AB is a straight line] 

x + y + z = 180° 

x + 50° + 90° = 180° 

x = 180° – 140° 

x = 40° 

Hence values of x, y, z and u are 40°, 50°, 90° 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.

Categories

...