What do we call the point where two lines intersect on a flat surface?

The point of intersection.

Fill in the blank: When two lines do not intersect, they are said to be ___.

Parallel.

True or False: The angles formed by two intersecting lines can be calculated if the measurement of one angle is known.

True.

How many angles are formed when two lines intersect?

Four angles are formed at the point of intersection.

What is the relationship between angles ∠b and ∠c if they form a straight line?

The sum of angles ∠b and ∠c is 180°.

True or False: A linear pair consists of angles that are not adjacent and add up to 180°.

False. A linear pair consists of adjacent angles that add up to 180°.

What is the definition of perpendicular lines?

Perpendicular lines are a pair of lines that intersect each other at a perfect right angle (90°).

A transversal cuts two lines. If one pair of alternate interior angles is (4x + 20)° and (6x − 10)°, find the value of x if the lines are parallel.

Since the lines are parallel, a pair of alternate interior angles are equal.

4x + 20 = 6x − 10

15

The sum of two co-interior angles on the same side of the transversal is 180°. If one angle is 3 times the other, find both angles.

Let angles be x and 3x. So, x + 3x = 180

 → x = 45°, other = 135°

If two angles formed by intersecting lines are in the ratio 5:4, what are the angles?

Let the angles be 5x and 4x. 5x + 4x = 180 

→ x = 20

 → Angles = 100° and 80°

A line that intersects two or more lines at distinct points is called a __________.

Transversal

True or False: The sum of the angles formed around a point is always 180°.

Full circle (around a point) = 360°