Respuesta :

Answer: m√M = 98°

Step-by-step explanation:

x + x + 6 + 3x - 16 = 180

5x - 10 = 180

5x = 180 + 10

x = 190 / 5 = 38

m√M = 3x - 16

= 3(38) - 16

= 98°

Answer:

m<M = 98 deg

Step-by-step explanation:

Theorem

The sum of the measures of the angles of a triangle is 180 degrees.

Now we set the sum of the measures of the angles equal to 180 and solve for x.

3x - 16 + x + 6 + x = 180

5x - 10 = 180

5x = 190

x = 38

Now that we know x, we substitute x with 38 in the expression for the measure of angle M.

m<M = 3x - 16

m<M = 3(38) - 16

m<M = 114 - 16

m<M = 98