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

The measures of the angles of a quadrilateral are (p+25),2p,(2p15) and (p+20). What is the measure of the smallest angle?

A
105
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
65
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
115
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
75
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 75
Sum of all the interior angles in a quadrilateral is 360.

(p+25)+2p+(2p15)+(p+20)=360
6p+30=360
6p=330
p=3306
p=55
The measures of the angles are
p+25=80,
2p=110,
2p15=95,
p+20=75
The measure of the smallest angle is 75.

flag
Suggest Corrections
thumbs-up
2
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Value of an Expression
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon