Determining Angle Relationships with Parallel Lines and Transversals

What is the sum of the measures of two angles that form a straight line?

• 360 degrees

• 90 degrees

• 180 degrees

• 270 degrees

For angles formed by two intersecting lines, what is the relationship between opposite angles?

• They are congruent.

• They are supplementary.

• They are complementary.

• They are adjacent.

When two parallel lines are cut by a transversal, what can be said about the corresponding angles?

• They are complementary.

• They are supplementary.

• They are adjacent.

• They are congruent.

If two angles are vertical angles, what is true about their measures?

• They are complementary.

• They are unequal.

• They are supplementary.

• They are congruent.

How do you solve for 'x' when given two angles' measures as algebraic expressions that are equal?

• Set the expressions equal and solve for 'x'.

• Multiply the expressions.

• Divide the expressions.

• Subtract the expressions.

What is the measure of an angle if its expression is 8x - 4 and x = 8?

• 64 degrees

• 68 degrees

• 72 degrees

• 60 degrees

What is the value of 'x' if 5x + 5 = 4x + 14?

• x = 10

• x = 7

• x = 9

• x = 8

When solving for 'x' in angle problems, what is the first step after setting up the equation?

• Add the constants.

• Subtract the constants.

• Get all the 'x' terms on one side.

• Divide by the coefficient of 'x'.

If the expression for an angle in a parallel line and transversal setup is 12x + 2, and x = 9, what is the angle's measure?

• 110 degrees

• 108 degrees

• 98 degrees

• 102 degrees

What is the result of combining like terms in the equation 12x - 4 + 15x - 5 = 180?

• 26x - 9 = 180

• 28x - 9 = 180

• 27x + 9 = 180

• 27x - 9 = 180