Question

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

Answer 1

Answer:

∠P = 90°

Quadrilateral is a rectangle

Step-by-step explanation:

quadrilateral LMNO

a quadrilateral has 4 angles & sum of 4 angles = 360°

=> ∠L + ∠M + ∠N + ∠P = 360°

m∠L = m∠M = m∠N = 90°.

=> 90° + 90° + 90° + ∠P = 360°

=> ∠P = 90°

m∠L = m∠M = m∠N = m∠P  = 90°.

all 4 angles are equal and 90°

hence Quadrilateral is a rectangle