Q. 55.0( 1 Vote )

In Figure 5.63 two straight lines AB and CD are intersecting each other at point O and the angle thus formed at O are marked.



Here the value of x – y is –
A. 56°

B. 118°

C. 62°

D. 180°

Answer :

Let the intersection point be O.

If we consider line AB, AB is a straight line. x + y forms a linear pair and in the similar manner AOD + 62° = 180°


Sum of all the angles about O is 360°.


x + y + AOD + 62° = 360°


180° + AOD + 62° = 360°


AOD + 242° = 360°


AOD = 360 – 242


AOD = 118°


Now y = 62° [vertically opposite angles]


Also x = AOD = 118° [vertically opposite angles]


So x - y = 118 – 62


= 56°


So the correct answer is A.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Extra Questions on Angle Sum Property and Exterior Angle Property of TrianglesExtra Questions on Angle Sum Property and Exterior Angle Property of TrianglesExtra Questions on Angle Sum Property and Exterior Angle Property of Triangles34 mins
Know How to Solve Complex Geometry Problems!Know How to Solve Complex Geometry Problems!Know How to Solve Complex Geometry Problems!27 mins
Quiz | Imp. Qs. on Coordinate GeometryQuiz | Imp. Qs. on Coordinate GeometryQuiz | Imp. Qs. on Coordinate Geometry39 mins
Euclid's GeometryEuclid's GeometryEuclid's Geometry51 mins
Quiz | Euclid's GeometryQuiz | Euclid's GeometryQuiz | Euclid's Geometry44 mins
Coordinate GeometryCoordinate GeometryCoordinate Geometry37 mins
Coordinate GeometryCoordinate GeometryCoordinate Geometry45 mins
NCERT | Angle Sum PropertyNCERT | Angle Sum PropertyNCERT | Angle Sum Property44 mins
Basics of Coordinate GeometryBasics of Coordinate GeometryBasics of Coordinate Geometry43 mins
Quiz | Angle Sum Property of TriangleQuiz | Angle Sum Property of TriangleQuiz | Angle Sum Property of Triangle40 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
caricature
view all courses