Angles and Transversals: Solving for x

What type of angles are formed when two parallel lines are intersected by a transversal and the angles are on the same side and at corresponding positions?

• Alternate interior angles

• Corresponding angles

• Vertical angles

• Same side interior angles

When solving for x in the equation 2x + 13 = 65, what is the first step?

• Subtract 13 from both sides

• Multiply both sides by 2

• Add 13 to both sides

• Divide both sides by 2

If two angles are same side interior angles, what is their angle sum?

• 360 degrees

• 45 degrees

• 180 degrees

• 90 degrees

In the context of same side interior angles, if the equation is x + 25 + x + 45 = 180, what is the simplified form of the left side of the equation?

• x + 45

• 2x + 25

• x + 70

• 2x + 70

What property do alternate interior angles have when two parallel lines are intersected by a transversal?

• They are adjacent.

• They are complementary.

• They are supplementary.

• They are congruent.

How do you solve for x when given the equation 2x + 67 = x + 56?

• Subtract x from 2x

• Add 67 to 56

• Add x to 56

• Subtract x from 67

What type of angles are formed by two parallel lines intersected by a transversal, where the angles are on opposite sides and inside the lines?

• Same side exterior angles

• Alternate interior angles

• Same side interior angles

• Corresponding angles

What is the sum of the measures of same side exterior angles?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

What is the value of x when 4x - (-14) + 8x + 22 = 180 is simplified and solved?

• 18

• 14

• 16

• 12

If the angle measures of same side exterior angles are represented by 4x - (-14) and 8x + 22, what is the simplified expression for their sum?

• 4x + 8x

• 22x - 14

• 12x + 8

• 12x + 36