Question

Please help me with this question

Answer 1

Answer:

x = 9

Step-by-step explanation:

when two lines intersect, it creates four angles. vertical angles are the angles that are opposite to each other. in the attached image, 1 & 3 are vertical angle pairs, and so are 2 & 4.

since vertical angles are always congruent, 3x - 8 is equal to 2x + 1

3x - 8 = 2x + 1

add 8 to each side

3x = 2x + 9

subtract 2x from each side

x = 9

check your answer:

3x - 8 = 2x + 1

3(9) - 8 = 2(9) + 1

27 - 8 = 18 + 1

19 = 19