Question

PLEASE HELP!!!!!!!!! Make sure you show all your work for full points. What is o?

Answer 1

Answer:

  o = 54

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°. The definition of a linear pair tells you the two angles of a linear pair total 180°. Together, these relations tell you that an exterior angle of a triangle is equal to the sum of the remote interior angles.

In this geometry, the angle marked 78° is exterior to the left-side triangle. That means ...

  78° = o° +24°

  o° = 78° -24° = 54°

The value of 'o' is 54.

__

Additional comment

n° is the supplement of 78°, so is 102°.

m° is the difference between 102° and 22°, so is 80°.

Answer 2

Answer:

Step-by-step explanation:

M = 180 - (78 + 22)

M= 80

n = 180 - 78

N= 102

o = 180- (24 + 102)

O = 54

Hope this helped.