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PLEASE HELP ME WITH THESE!!!

PLEASE HELP ME WITH THESE!!!-example-1
User Danbahrami
by
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1 Answer

7 votes

9514 1404 393

Answer:

  • ∠4 = 120°
  • ∠5 = 80°

Explanation:

Angle 5 is the third angle of the triangle whose other two angles are 45° and 55°. So, its measure is ...

∠5 = 180° -45° -55°

∠5 = 80°

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This figure cannot be solved for angle 4 unless we assume the horizontal lines are parallel. Using the angle numbers as vertex designators, angle 245 and the one marked 45° are alternate interior angles, so are congruent. Angle 4 is vertical with the angle that is the sum of angle 245 and 75°, so we have ...

∠4 = 75° +45°

∠4 = 120°

User Aphrodite
by
4.2k points