12/6 flashcard

Front

What is the measure of \( \angle 6 \) if \( m\angle 1 = 57\degree \)?

Back

\( m\angle 6 = 123\degree \) (using the property of supplementary angles).

Front

What is the measure of \( \angle 2 \) if \( m\angle 7 = 115\degree \)?

Back

\( m\angle 2 = 115\degree \) (same angle measure).

Front

What is the value of \( x \) if it is equal to the measure of vertical angles?

Back

\( x = 77\degree \) (vertical angles are equal).

Front

What is the value of \( x \) if it is given as an angle measure?

Back

\( x = 45 \) (specific angle measure).

Front

What is the measure of \( m\angle 1 \) if it is given as \( 131\degree \)?

Back

\( m\angle 1 = 131\degree \) (direct measure).

Front

Define vertical angles.

Back

Vertical angles are the angles opposite each other when two lines cross. They are always equal.

Front

Define supplementary angles.

Back

Supplementary angles are two angles whose measures add up to \( 180\degree \).

Front

What is the relationship between alternating interior angles?

Back

Alternating interior angles are equal when two parallel lines are cut by a transversal.

Front

What is the relationship between corresponding angles?

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.

Front

What is the measure of angles on a straight line?

Back

The sum of the measures of angles on a straight line is \( 180\degree \).