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devlian [24]
3 years ago
15

PLEASEE HEELLLP!!! I'LL GIVE BRAINLIEST!

Mathematics
2 answers:
Amanda [17]3 years ago
8 0

Answer:

x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96

Step-by-step explanation:

The two angles above the horizontal line form a linear pair, so they are supplementary. Their measures add to 180 deg. That let's you find the value of x.

28x - 7 + 24x + 18 = 180

52x + 11 = 180

52x = 169

x = 169/52

x = 3.25

Now use the lower left angle and the upper right angle. They are vertical angles, so they are congruent. That allows you to solve for y.

12y + 30 = 24x + 18

We know that x = 3.25.

12y + 30 = 24(3.25) + 18

12y + 30 = 78 + 18

12y = 66

y = 66/12

y = 5.5

I don't know what the problem is asking for since you don't show.

x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96

patriot [66]3 years ago
4 0

Answer:

  • x = 3.25, y = 5.5

Step-by-step explanation:

The two top angles are supplementary.

Supplementary angles sum to 180 deg.

  • 28x - 7 + 24x + 18 = 180
  • 52x + 11 = 180
  • 52x = 169
  • x = 169/52
  • x = 3.25

-------------------

Vertical angles have same measure.

  • 12y + 30 = 24x + 18
  • 12y = 24*3.25 - 12
  • 12y = 66
  • y = 66/12
  • y = 5.5
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