Question

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

Answer 1

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

Answer 2

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