Q. 73.9( 17 Votes )

In the adjoining figure, there coplanar lines AB, CD and EF intersect at a point O, forming angles as shown. Find the values of x, y, z and t.

Answer :

X=4, Y=4, Z=50, t=90

Given, coplanar lines AB, CD and EF intersect at a point O.

Therefore, AOF = BOE ________________________ (i)

BOD = AOC ________________________ (ii)

DOF = COE ________________________ (iii)

x = y from equation (i)

t = 90 from equation (ii)

z = 50 from equation (iii)

AOF + DOF + BOD = 180° (from AOB straight line)

x + 50° + 90° = 180°

x = 180° - 140°

x = 40°

x = y = 40° from equation (i)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Lines and Angles45 mins
Quiz | Lines and Angles43 mins
Quiz | Lines and Angles40 mins
NCERT | Angle Sum Property44 mins
Quiz | Angle Sum Property of Triangle40 mins
NCERT | Intersecting and Non Intersecting lines)41 mins
NCERT | Discussion on Lines And Angles45 mins
NCERT | Lines and Angles Part - 142 mins
Know About Transversal and Parallel lines42 mins
Quiz | Imp. Qs. on Lines and Angles30 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