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Find the missing variables​

Find the missing variables​-example-1

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Answer:

  • x = 9
  • y = 13

Explanation:

You have to assume the the marked lines are parallel.

Alternate exterior angles are congruent, so ...

(15x -26)° = (12x +1)°

3x = 27 . . . . . . divide by °, add 26-12x

x = 9 . . . . . . . . .divide by 3

Then the alternate exterior angles are ...

(12·9 +1)° = 109°

___

The angle at upper right is vertical with the obtuse interior angle of the triangle whose other interior angles are marked. The sum of them is 180°, so we have ...

28° +109° +(4y -9)° = 180°

4y = 52 . . . . . . divide by °, subtract 128

y = 13 . . . . . . . . divide by 4

Then the third interior angle of the triangle is ...

(4·13 -9)° = 43°

User JoeJoe
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