Question

Are my answers correct on this problem?

Answer 1

Answer is no to your answers
Angle 1 = 114
Angle 2 = 66
Angle 3 = 114
Angle 4 = 66

Step by step

We know angle 2 is 66 degrees
Because angle 4 is a vertical angle, it is congruent or the same, so angle 4 = 66.

Now, the supplementary angles of angles 1 and 4 will equal 180 degrees. Angle 4 is 66 so we subtract 66 from 180 = 114. Angle 1 = 114 and since angle 3 is a vertical angle and is congruent to angle 1, it is also 114 degrees.
See the attached picture for a visual aid.

(Note: it looks like you used a right angle 90 degrees in your answers instead of supplementary angles of 180)

Answer 2

Measure of angle 1 and 3 should be 114°

Explanation:

Instead of them equaling 24, they should be 114°. Angle 1 and 2 should equal 180°, not 90. Same thing for angle 3. Other than that, it's good! I hope this helps!