CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

In quadrilateral LMNP, m∠L = m∠M = m∠N = 90°. Find m∠P. What type of quadrilateral is □LMNP?

Open in App
Solution


In quadrilateral LMNP, mL = mM = mN = 90°
mL + mM + mN + mP = 90° (Sum of all the angles of a quadrilateral is 360°)
mP = 360° – (mL + mM + mN)
= 360° – (90° + 90° + 90°) = 90°
Therefore, mP = 90°
All the angles of LMNP are 90o .
Therefore, LMNP is a rectangle.

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