Question

I’m not going to ask for the answer, just help in process to solve it.

Answer 1

For this case we have that by definition, the sum of the internal angles of a triangle is 180 degrees.

Then, according to the figure djunta we have:

$(3x-16) + (x + 6) + x = 180$

Grouping similar terms:

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

We clear the value of x:

$5x-10 = 180\\5x = 180 + 10\\5x = 190\\x = \frac {190} {5}\\x = 38$

Then the angle M is given by:

$(3x-16)$

Substituting the value of x we have:

$(3 * 38) -16 = 98$

Thus, the angle M is 98 degrees.

Answer:

98 degrees

Answer 2

So in a triangle ; angle sum is 180°

so 3x-16 + x+6 + x =180
5x -10 =180
x= 190/5
x= 38

so M angle is 3x-16 = 3×38 -16 =114-16 = 98°

your answer is 98°