Question

Answer choices:
30 degrees
124 degrees
94 degrees
35 degrees

Answer 1

Answer:

A. 94 degrees

Step-by-step explanation:

Both the angles are similar and can be called parallel angles.

They are equal to each other so:

m∠2 = m∠3

4x - 26 = 3x + 4

4x - 3x = 4 + 26

x = 30°

m∠2 = 4x - 26

        = 4(30) - 26

        = 94°

Answer 2

Answer:

∠ 2 = 94°

Step-by-step explanation:

∠ 2 and ∠ 3 are vertically opposite angles and are congruent, so

4x - 26 = 3x + 4 ( subtract 3x from both sides )

x - 26 = 4 ( add 26 to both sides )

x = 30

Then

∠ 2 = 4x - 26 = 4(30) - 26 = 120 - 26 = 94°