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valina [46]
4 years ago
13

Could someone help me out with these problems? Sorry

Mathematics
1 answer:
AleksandrR [38]4 years ago
8 0

Answer:

  3. 63°

  4. x = 13

Step-by-step explanation:

3. The exterior angle is equal to the sum of the opposite interior angles.

  118° = (4x +7)° + (6x -9)°

  120 = 10x . . . . . . . . . divide by °, add 2

  12 = x

   m∠K = (6x -9)° = (6·12 -9)°

   m∠K = 63°

__

4. Corresponding angles are congruent, and the sum of angles in a triangle is 180°.

  74° + (5x)° + (3x+2)° = 180°

  8x = 104 . . . . . . . . . . . . . . . divide by °, subtract 76

  x = 13 . . . . . . . . . . . . . . . . . .divide by 8

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