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Could someone explain and help

Could someone explain and help-example-1

1 Answer

5 votes

Answer:

80°

Explanation:

The sum of the two angles (red and blue) is 145°, so you have ...

(4x +5)° +(6x -10)° = 145°

10x = 150 . . . . . . . . divide by °, add 5, simplify

x = 15 . . . . . . . . . . . divide by 10

Then the measure of the angle of interest is ...

m∠XMN = (6x -10)° = (6·15 -10)° = 80°

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