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Alexxx [7]
2 years ago
10

50 points! Mhanifa please help! I would appreciate it! Random answers will be reported!

Mathematics
2 answers:
prisoha [69]2 years ago
8 0

Answer:

  • x = 4
  • A. 33°

Step-by-step explanation:

<h3>Question 1</h3>

<u>A and C are equal angles, so the opposite sides are equal as well.</u>

  • 9x - 8 = 28
  • 9x = 36
  • x= 4
<h3>Question 2</h3>

<u>Given</u>

  • ΔALX ≅ GIW

<u>Corresponding angles are congruent:</u>

  • ∠A ≅ ∠G, ∠L ≅ I, ∠X ≅ ∠W

<u>Angles measures:</u>

  • m∠X = 92°, m∠G = 55°

<u>Find the missing measure:</u>

  • m∠I = 180° - (m∠W + m∠G) = 180° - (92° + 55°) = 33°

Correct choice is A

alisha [4.7K]2 years ago
4 0

Answer:

x = 4, ∠I = 33°

Step-by-step explanation:

<u>Question 1</u>

Converse to Base Angles Theorem: 28 = 9x - 8,

28 = 9x - 8 (add 8 to both sides)

9x = 36 (divide both sides by 9)

x = 4

<u>Question 2</u>

Since the triangles are congruent, ∠A ≅ ∠G:

∠A = 55 = ∠G

If we consider triangle ALX we have ∠L = 180-55-92 = 33°

And since ∠L ≅ ∠I, ∠I = 33° respectively

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