Parallel Lines and Transversals Solving Equations

Parallel Lines and Transversals

Multiple Choice

Angles A and D are...

• corresponding angles

• vertical angles

• alternate interior angles

• alternate exterior angles

Multiple Choice

Angles A and D are...

• Congruent, they both measure 160°

• Congruent, they both measure 20°

• Supplementary, their sum is 180°

Multiple Choice

Angles E and D are...

• a linear pair

• vertical angles

• alternate interior angles

• alternate exterior angles

Multiple Choice

Angles E and D are...

• Congruent, they both measure 160°

• Congruent, they both measure 20°

• Supplementary, their sum is 180°

Multiple Choice

Angles A and C are...

• a linear pair

• vertical angles

• alternate interior angles

• alternate exterior angles

Multiple Choice

Angles A and C are...

• Congruent, they both measure 160°

• Congruent, they both measure 20°

• Supplementary, their sum is 180°

Multiple Choice

Angles A and G are...

• a linear pair

• corresponding

• alternate interior angles

• alternate exterior angles

Multiple Choice

Angles A and G are...

• Congruent, they both measure 160°

• Congruent, they both measure 20°

• Supplementary, their sum is 180°

Multiple Choice

Angles E and G are...

• a linear pair

• corresponding

• alternate interior angles

• alternate exterior angles

Multiple Choice

Angles E and G are...

• Congruent, they both measure 160°

• Congruent, they both measure 20°

• Supplementary, their sum is 180°

Multiple Choice

Angles E and B are...

• a linear pair

• corresponding

• alternate interior angles

• alternate exterior angles

Multiple Choice

Angles E and B are...

• Congruent, they both measure 160°

• Congruent, they both measure 20°

• Supplementary, their sum is 180°

Multiple Choice

Angles B and F are...

• a linear pair

• corresponding

• alternate interior angles

• alternate exterior angles

Multiple Choice

Angles B and F are...

• Congruent, they both measure 160°

• Congruent, they both measure 20°

• Supplementary, their sum is 180°

If congruent, set the two angles EQUAL to each other.

Determine if the two angles are congruent...

If supplementary, ADD the two angles together and set the expression equal to 180.

or supplementary...

​Writing and Solving Equations

Look at how your two angles are related. Are they congruent or supplementary?

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​Solving Equations

These are a linear pair. They are supplementary.

x + y = 180

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​Solving Equations

Look at how your two angles are related. Are they congruent or supplementary?

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​Solving Equations

These are alternate exterior Angles. They are congruent.

x = y

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​Solving Equations

Look at how your two angles are related. Are they congruent or supplementary?

​

​Solving Equations

These are a linear pair. They are supplementary.

x + y = 180

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​Solving Equations

Look at how your two angles are related. Are they congruent or supplementary?

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​Solving Equations

These are corresponding Angles. They are congruent.

x = y

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​Solving Equations

Multiple Choice

Which equation must be true?

• 13x = 105

• 13x + 105 = 180

• 13x + 105 = 90

• 13x + 105 = 118x

Multiple Choice

Which equation must be true?

• 2x = 105

• 2x + 105 = 180

• 2x + 105 = 90

• 2x + 105 = 107x

Multiple Choice

Which equation must be true?

• x + 10 = 80

• x + 10 + 80 = 90x

• x + 10 + 80 = 180

• 80 - (x + 10) = 90

Multiple Choice

Which equation must be true?

• 4x = 80

• 4x + 80 = 84x

• 4x + 80 = 180

• 80 - 4x = 90