Question

Question 1 (1 point)

Find mz1 and m<2. For angles that cannot be found write
"cannot be determined" or "CBD".
m₂1=
mz2 =
Blank 1:
Blank 2:
120°
1

Answer 1

Explanation:

For the given angles:

30°

m/1 = 30°

1/2

f

m/2 = cannot be determined

Since no additional information is provided for angle 2, its measure cannot be determined.

Therefore, the answers are:

Blank 1: 30°

Blank 2: Cannot be determined

Answer 2

`\sf m\angle 1 = 120\degree`

`\sf m\angle 2 = 120\degree`

Explanation:

When two parallel lines cut by transversal then,

• Vertically opposite angles are equal.
• Corresponding angles are equal.
• Consecutive interior angles are supplementary.
• Alternate exterior and interior angles are equal.

From the figure,

120° and
`\sf m\angle 2` are the corresponding angles i.e they are equal.

`\sf m\angle 2 = 120\degree`

Also
`\sf m\angle 1` and
`\sf m\angle 2` are the vertical angles which are also equal .

`\sf m\angle 1 = m\angle 2`

`\sf m\angle 1 = 120\degree`

Therefore,

`\sf m\angle 1 = 120\degree`

`\sf m\angle 2 = 120\degree`

`\dotfill`