Use the following figure to answer the question. 1 and 4 are angles. corresponding vertical supplementary adjacent

vertical angles

Step-by-step explanation:

We need to identify ∠1 and ∠4 are which type of pair of angles .

Since we are given the options :

1, correspoding angles: Corresponding Angles

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.

2. vertical angles : The angles opposite each other when two lines cross. They are always equal.Vertical" refers to the vertex (where they cross), NOT up/down

3. supplementary angles : Two Angles are Supplementary when they add up to 180 degrees

4. adjacent angles:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

Thus according to definitions ∠1 and ∠4 are vertical angles

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation: