Interior Angle Theorem and Its Converse

Q.

Given two parallel lines,

Which of the following angles are equal?

1. Adjacent angles
2. Insufficient data
3. Co-interior angles
4. Alternate interior angles

Q.

When a transversal cuts two lines such that pairs of alternate interior angles are ___, then the lines have to be parallel.

Q.

Consider two parallel lines and a transversal. Among the measures of 8 angles formed, how many distinct numbers are there?

Q.

Find angle 1 (in degrees) in the figure given below. Given that, the two lines are parallel.

___

Q.

Let and be two parallel lines and be a transversal. Show that the angle bisectors of a pair of two internal angles on the same side of the transversal are perpendicular to each other.

Q.

Find all the angles in the following figure.

Q.

When two lines are cut by a transversal and their alternate interior angles are equal, then the lines are

1. perpendicular

2. inclined at 120 degrees

3. inclined at 60 degrees

4. parallel

Q. If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

Q.

The angles that form the shape "Z" when two parallel lines are cut by a transversal are

1. Exterior angles

2. Interior angles

3. Corresponding angles

4. Alternate angles

Q. Find the sum (in degrees) of any two adjacent angles in the given figure.

1. 180