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.