Question

Geometry help, please.

Answer 1

Answer:

  80°

Step-by-step explanation:

The sum of the marked angles is 145°, so we have ...

  (4x+5)° +(6x -10)° = 145°

  10x -5 = 145 . . . . . . . . . . divide by °, simplify

  10x = 150 . . . . . . . . add 5

  x = 15 . . . . . . . . divide by 10

Then the measure of angle XMN is ..

  angle XMN = (6x -10)° = (6(15) -10)° = 80°

______

Check

angle ZMX = (4(15)+5)° = 65°

and 65° +80° = 145° . . . . as required