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

In the figure, ACE, BCF and DCH are straight lines and AB || HC.

Find the angles p,q,r and s.


A

p=45,q=50,r=65,s=50

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

p=45,q=65,r=50,s=50

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

p=45,q=65,r=50,s=65

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

p=45,q=50,r=65,s=65

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

p=45,q=50,r=65,s=50


In ΔABC, r=180(50+65)=65 [angle sum property of a triangle]

HC||ABq=50 [Alternative angles].

s = q [Vertically opposite angles]
Hence, s=50

Since BCF is a straight line,
(p+20)+q+r=180p=45
p=45,q=50,r=65 and s=50 are the required values.


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