Question

Solve for x: ) (2 + 3x) 62 I PLEASE SHOW WORK ON HOW YOU SOLVED FOR X

Answer 1

Answer:

x = 20

Step-by-step explanation:

These angles are vertical angles.

Vertical angles are congruent!! So we set them equal to one another.

2 + 3x = 62

-2           -2

3x = 60

----    ---

3       3

x = 20

Answer 2

Answer: x = 20

Concept:

Vertical angles: Pairs of opposite angles made by intersecting lines.

Vertical Angle Theorem: If 2 angles are vertical, then they are congruent.

If you cannot understand this, please refer to the attachment below for a graphical explanation.

Solve:

Given information

Angle 1 = (2 + 3x)°

Angle 2 = 62°

Set equation

Angle 1 = Angle 2

2 + 3x = 62

Subtract 2 on both sides

2 + 3x - 2 = 62 - 2

3x = 60

Divide 3 on both sides

3x / 3 = 60 / 3

$\boxed{x=20}$

Hope this helps!! :)

Please let me know if you have any questions