8 Lesson 30: Solving for Missing Transversal Angles

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same position on different parallel lines cut by a transversal. They are equal in measure.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two parallel lines. They are equal in measure.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

What is the relationship between angles formed by a transversal and parallel lines?

Back

When a transversal intersects two parallel lines, several pairs of angles are formed, including corresponding angles, alternate interior angles, and alternate exterior angles, which have specific relationships in terms of their measures.

Front

If m∠1 = (17x + 1)° and m∠2 = (20x - 14)°, how do you find m∠2?

Back

Set m∠1 equal to m∠2 because they are vertical angles: (17x + 1) = (20x - 14). Solve for x, then substitute back to find m∠2.

Front

What is the equation to solve for x if m∠1 + m∠2 = 180°?

Back

The equation is 12X - 19 + 4X + 1 = 180.

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that are on opposite sides of the transversal and outside the two parallel lines. They are equal in measure.

Front

How do you identify corresponding angles in a diagram?

Back

Look for angles that are in the same relative position at each intersection of the transversal with the parallel lines.

Front

What is the sum of the measures of angles on a straight line?

Back

The sum of the measures of angles on a straight line is 180°.

Front

What is the sum of the measures of angles around a point?

Back

The sum of the measures of angles around a point is 360°.