wiz-icon
MyQuestionIcon
MyQuestionIcon
10
You visited us 10 times! Enjoying our articles? Unlock Full Access!
Question

A quadrilateral has three acute angles, each measuring 75°. Find the measure of the fourth angle.


A

225

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

100

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

140

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

135

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

The correct option is D

135


Let the fourth angle be x.

We know that the sum of all the angles of a quadrilateral is 360.

Any angle measuring greater than 0 and less than 90 is an acute angle.

75+75+75+x=360

225+x=360

x=360225

x=135

Thus, the fourth angle is 135.


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