Question

Pls help quick i need this

Answer 1

See explanation

Explanation:

Q1-5.

1. Plane parallel to WXT is ZYU.

2. Segments parallel to
`\overline {VU}` are
`\overline {ZY}, \overline {WX}` and
`\overline {ST}`

3. Segments parallel to
`\overline {SW}` are
`\overline {VZ}, \overline {YU}` and
`\overline {XT}`

4. Segments skew to
`\overline {}`
`\overline {XY}` are
`\overline {SV}` and
`\overline {VZ}` (not lie in the same plane and not parallel)

5. Segments skew to
`\overline {}`
`\overline {VZ}` are
`\overline {WX}` and
`\overline {XT}` (not lie in the same plane and not parallel)

Q6.

a.
`\angle 4` and
`\angle 10` are the same-side interior angles, transversal k

b.
`\angle 8` and
`\angle 11` are alternate exterior angles, transversal m

c.
`\angle 1` and
`\angle 4` do not form any pair of angles

d.
`\angle 2` and
`\angle 12` are the same-side exterior angles, transversal k

e.
`\angle 5` and
`\angle 7` are corresponding angles, transversal j

f.
`\angle 2` and
`\angle 13` are alternate interior angles, transversal l

Q7.

`m\angle 1=m\angle 7=131^(\circ)` (as vertical angle with angle 7)

`m\angle 2=180^(\circ)-131^(\circ)=49^(\circ)` (as supplementary angle with angle 1)

`m\angle 8=49^(\circ)` (as vertical angle with angle 2)

`m\angle 3=m\angle 1=131^(\circ)` (as corresponding angles when parallel lines p and q are cut by transversal r)

`m\angle 4=m\angle 2=49^(\circ)` (as corresponding angles when parallel lines p and q are cut by transversal r)

`m\angle 5=m\angle 7=131^(\circ)` (as corresponding angles when parallel lines p and q are cut by transversal r)

`m\angle 6=m\angle 8=49^(\circ)` (as corresponding angles when parallel lines p and q are cut by transversal r)

`m\angle 10=m\angle 16=88^(\circ)` (as vertical angle with angle 16)

`m\angle 9=180^(\circ)-88^(\circ)=92^(\circ)` (as supplementary angle with angle 16)

`m\angle 15=92^(\circ)` (as vertical angle with angle 9)

`m\angle 14=m\angle 16=88^(\circ)` (as corresponding angles when parallel lines p and q are cut by transversal s)

`m\angle 13=m\angle 15=92^(\circ)` (as corresponding angles when parallel lines p and q are cut by transversal s)

`m\angle 12=m\angle 10=88^(\circ)` (as corresponding angles when parallel lines p and q are cut by transversal s)

`m\angle 11=m\angle 9=92^(\circ)` (as corresponding angles when parallel lines p and q are cut by transversal s)

Q8.

`m\angle 7=m\angle 9=105^(\circ)` (as vertical angles)

`m\angle 8=180^(\circ)-105^(\circ)=75^(\circ)` (as supplementary angle with angle 9)

`m\angle 10=m\angle 8=75^(\circ)` (as vertical angles)

`m\angle 6=m\angle 8=75^(\circ)` (as alternate interior angles when parallel lines a and b are cut by transversal c)

`m\angle 1=180^(\circ)-75^(\circ)-63^(\circ)=42^(\circ)` (by angle addition postulate)

`m\angle 3=180^(\circ)-42^(\circ)-63^(\circ)=75^(\circ)` (by angle addition postulate)

`m\angle 4=m\angle 1=42^(\circ)` (as vertical angles)

`m\angle 5=m\angle 2=63^(\circ)` (as vertical angles)

`m\angle 11=m\angle 4=42^(\circ)` (as alternate interior angles when parallel lines a and b are cut by transversal d)

`m\angle 12=180^(\circ)-42^(\circ)=138^(\circ)` (as supplementary angles)

`m\angle 13=m\angle 11=42^(\circ)` (as vertical angles)

`m\angle 14=m\angle 12=138^(\circ)` (as vertical angles)