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2 years ago

Geometry help, please.

Mathematics

1 answer:

egoroff_w [7]2 years ago

3 0

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°

______

<em>Check</em>

angle ZMX = (4(15)+5)° = 65°

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

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