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

In the figure, if PQRS, MXQ=135 and MYR=40. The measure of XMY is.

A
75
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
40
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
65
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
85
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 85
Through point M, draw a line AB parallel to the line PQ.
QXM and XMB are interior angles on the same side of the transversal XM.

QXM+XMB=180 (Sum of the interior angles on the same side of transversal XM is supplementary)

135+XMB=180

XMB=180135=45

YMB=MYR=40 [alternate angles]

Also, XMY=XMB+BMY

XMY=45+40=85

flag
Suggest Corrections
thumbs-up
7
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Summary
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon