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……………………………… I need help

……………………………… I need help-example-1
User Bobs Burgers
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1 Answer

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22 votes

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Answer:

  • x = 24
  • ∠1 = 42°
  • no

Explanation:

As is usually the case, the figure is not drawn to scale.

Angles 3, 4, and 5 together form a linear angle.

(x +18) +(x +15) +(4x +3) = 180

6x +36 = 180

x +6 = 30

x = 24

Angle 1 is a vertical angle with respect to angle 3, so has the same measure. That measure is ...

∠1 = ∠3 = x +18 = 24 +18 = 42 . . . . degrees

In order for congruent angles to be complementary, they would both have to be 45°. Neither of angles 1 and 3 have this measure.

Angles 1 and 3 are not complementary.

User Todd M
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3.3k points