Question

I need help on this also could you check if the first 3 questions are correct

Answer 1

We have two parallel lines intersected by other line.

We have to relate the angles.

We will take the angle with measure 17° as reference (red angle).

The angle <1 has a measure that is supplementary to the red angle, as <1 is supplementary to the <4, which is a corresponding angle to the red angle.

`m\angle1=180-17=163\degree`

It has no direct relationship with the red angle.

The angle <2 is supplementary to <1, so it will have the same measure as the red angle (m<2 = 17°).

The relationship with the red angle is that they are alternate exterior angles.

Angle <3 has no direct relationship with the red angle. As it is vertical with <1 it has the same measure (m<3 = 163°) and is supplementary to the red angle.

Angle <4 and the red angle are corresponding angles.

They have the same measure, so they are congruent.

Angle <5 and the red angle form a linear pair, so they are supplementary. The measure of <5 is then m<5 = 163°.

Angle <6 and the red angle are vertical angles, so they have the same measure.

Angle <7 and the red angle form a linear pair, so they are supplementary. The measure of <7 is then m<7 = 163°.

Answer:

Angle <1:

Measure = 163°

Relationship: No name for relationship and supplementary.

Angle <2:

Measure = 17°

Relationship: Alternate exterior and congruent.

Angle <3:

Measure = 163°

Relationship: No name for relationship and supplementary.

Angle <4:

Measure = 17°

Relationship: Corresponding and congruent.

Angle <5:

Measure = 163°

Relationship: Linear pair and supplementary.

Angle <6:

Measure = 17°

Relationship: Vertical and congruent.

Angle <7:

Measure = 163°

Relationship: Linear pair and supplementary.