Question

Find the measure of Angle N.

Answer 1

Answer:

LMNO is a cyclic quadrilateral.

so sum of its opposite angle is 180.

now N and L are opposite angle so,

3x+12+11x=180

14x=180-12

x=168/14

x=12

N=3(12)+12=48°

hope it helps u ☺️☺️☺️

Answer 2

draw a diagonal from L to N

so that angles are bisected

<o+<onl+<oln=180

90⁰+(3×+12)⁰/2+(11×⁰/2)=180⁰

(3×+12+11×)/2=90⁰

14×+12=180

14×=168

×=12

so measure of N=3×+12=3(12)+12

=36+12=48