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BigorU [14]
3 years ago
9

The measure of angle 1 is (10 x + 8) degrees and the measure of angle 3 is (12 x minus 10) degrees. 2 lines intersect to form 4

angles. From top left, clockwise, the angles are 1, 2, 3, 4. What is the measure of angle 2 in degrees?
Mathematics
1 answer:
Leto [7]3 years ago
5 0

Answer:

  82°

Step-by-step explanation:

The given angles are vertical angles, so have the same measure:

  (10x +8) = (12x -10

  18 = 2x . . . . . . . . . . add 10-10x

  9 = x

  10x +8 = 10(9) +8 = 98

So, angles 1 and 3 measure 98°. Angles 2 and 4 are the supplement of this, so ...

  ∠2 = 180° -98° = 82°

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