Question

geometry stuff

Answer 1

We are told the angles are congruent.
What is the meaning of congruent angles?

Answer 2

it means that they have the same angle

Answer 3

You're on the right track, but you're not stating it correctly.
They are two different angles.
Congruent angles means their measures are equal.

Answer 4

<ABC and <CBD have the same measure.
Their measures are equal.
We are given the measures of both angles as expressions in x.
The measure of angle ABC is x + 1.
The measure of angle CBD is 4x - 2.

Answer 5

Since the angles are congruent, and their measures are equal, that means that
x + 1 must be equal to 4x - 2.

Answer 6

We write that last part as an equation, and we solve for x.

x + 1 = 4x - 2

Answer 7

Now you need to solve that equation for x.

Answer 8

x+1=4x-2
2+1=4x-x
3=3x
1=x

Answer 9

Correct.