The intersection of parallel lines b and c and transversal line d form several special angle relationships, as shown in the image below.

which pairs of angles are congruent? select all that apply.

angle 1 and angle 4

angle 3 and angle 5

angle 2 and angle 8

angle 3 and angle 7

The correct answers are

angle 1 and angle 4

angle 3 and angle 7

Step-by-step explanation:

From the given figure we can see that,

b and c are parallel lines.

The correct answers are,

1). angle 1 and angle 4

Angle 1 and 4 are vertically opposite angles. Vertically opposite angles are equal.Therefore angle 1 congruent angle 4

2). angle 3 and angle 7

angle 3 and angle 7 are corresponding angles on same side which are equal. Therefore angle 3 congruent angle 7

Step-by-step explanation:

Since they are vertically opposite angles

Since b || c

--1

Since they are alternate interior angles.

 --2

Since they are vertically opposite angles

So, By 1 and 2

So, Option 1 and option 4 are the pairs of angles which are congruent.

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point