Respuesta :

Supernova11

Answer:

x = 4, ∠I = 33°

Step-by-step explanation:

Question 1

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

Question 2

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

mhanifa

Answer:

  • x = 4
  • A. 33°

Step-by-step explanation:

Question 1

A and C are equal angles, so the opposite sides are equal as well.

  • 9x - 8 = 28
  • 9x = 36
  • x= 4

Question 2

Given

  • ΔALX ≅ GIW

Corresponding angles are congruent:

  • ∠A ≅ ∠G, ∠L ≅ I, ∠X ≅ ∠W

Angles measures:

  • m∠X = 92°, m∠G = 55°

Find the missing measure:

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

Correct choice is A

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