Question

For two vertical angles with measures m∠2=(5x+23)°
and m∠4=(3x+35)°
, what is the measure of each angle?(1 point)
Responses

15.3°

15.3 degrees

29°

29 degrees

53°

53 degrees

6°

Answer 1

Vertical angles are congruent, so set 5x + 23 = 3x + 35.
2x = 12 → x = 6.
m∠ = 5(6) + 23 = 30 + 23 = 53°.

Answer: 53°.