The interior angles of a triangle have measures 102°, 16°, and m°.

What is the value of m?
 
Enter your answer in the box.

Respuesta :

The sum of the interior of a triangle is 180 degrees. So the equation would be 102 + 16 + M = 180. So all you do is add 102 and 16 which is 118. Then you subtract that from 180. Therefore M is 62 degrees

Answer:

value of  m is 62 degree

Step-by-step explanation:

The sum of the measure of an interior angles add up to 180 degree.

As per the statement:

The interior angles of a triangle have measures 102°, 16°, and m°

then;

we have;

[tex]102^{\circ}+16^{\circ}+m^{\circ} = 180^{\circ}[/tex]

[tex]118^{\circ}+m^{\circ} = 180^{\circ}[/tex]

Subtract 118 from both sides we get;

[tex]m^{\circ} = 180 -118 = 2^{\circ}[/tex]

therefore, the value of m is 62 degree.