wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In the adjoining figure, AB is parallel to CD. Find the value of x.


A

80

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

88

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

90

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

98

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

98


Draw a line parallel to AB and CD passing through O.

Now we know that interior angles on the same side of the transversal are supplementary

Therefore BAO + AOR = 180

AOR + 130 = 180

AOR = 50

and similarly

ROC + OCD = 180

ROC + 132 = 180

ROC = 48

Hence

AOC = 50 + 48

AOC = 98


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Interior Angle Theorem
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon