Question

In the diagram below , triangle LMO is isosceles with LO=MO . if angle LL=55 and angle NOM = 28 what is angle N

Answer 1

Answer:

The measure of angle N is equal to $27\°$

Step-by-step explanation:

we know that

The triangle LMO is an isosceles triangle

therefore

$LO=MO$

and

$m$

see the attached figure to better understand the problem

we have that

$m$

so

$m$

Remember that

$m$ -----> by supplementary angles

Find the measure of angle OMN

$55\°+m$

$m$

The sum of the internal angles of a triangle is equal to $180\°$

In the triangle OMN

$m$

we have

$m$

$m$

substitute and solve for m< NMO

$28\°+125\°+m$

$m$