Given: Circle O with diameter LN and inscribed angle LMN
Prove: is a right angle.

What is the missing reason in step 5?

Statements

Reasons
1.
circle O has diameter LN and inscribed angle LMN
1.
given
2.
is a semicircle
2.
diameter divides into 2 semicircles
3.
circle O measures 360o
3.
measure of a circle is 360o
4.
m = 180o
4.
definition of semicircle
5.
m∠LMN = 90o
5.
?
6.
∠LMN is a right angle
6.
definition of right angle
HL theorem
inscribed angle theorem
diagonals of a rhombus are perpendicular.
formed by a tangent and a chord is half the measure of the intercepted arc.
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inscribed angle theorem

Explanation:

just took quiz on edgen

the correct answers are:

a - pacific plate;

it is the biggest oceanic tectonic plate. surrounded on all sides by continental tectonic plates, it is submerging and gradually becoming smaller and smaller.

b - north american plate;

huge continental plate, occupying big portion of the northern hemisphere.

c -eurasian plate;

alongside the north american plate, it is one of the two dominant continental plates in the northern hemisphere.

d - indian plate;

a small continental plate, that has been part of gondwanaland initially, but after the break up of it, moved towards northeast and pushed into the eurasian plate that was once part of laurasia.