Question

Please Help ASAP!!!!

Answer 1

`m\angle M = 98\degree`

Explanation:

As we know that:

Sum of the measure of all interior angles of a triangle is always 180°.

`\therefore (3x-16)\degree+(x+6)\degree+ x\degree = 180\degree\\\therefore (5x-10)\degree = 180\degree\\5x-10 = 180\\5x = 180 + 10\\5x = 190\\x= (190)/(5)\\x= 38\\\because m\angle M = (3x-16)\degree\\\therefore m\angle M = (3* 38 -16)\degree\\\therefore m\angle M = (3* 38 -16)\degree\\\therefore m\angle M = (114 -16)\degree\\\therefore m\angle M = 98\degree`