Unit 11: Angles + Triangles - Lesson 1

Unit 11: Angles and Triangles

Lesson 1: Angle Relationships

Types of Angles

Acute Angles: angles that measures between 0-89 degrees.

Obtuse Angles: angles that measure between 91-179 degree.

Right Angles: angles that measures exactly 90 degrees.

Straight Angles: angles that measures exactly 180 degrees.

Multiple Choice

List the angle types in order from the least angle measure to the greatest.

• Acute

  Obtuse

  Straight

  Right

• Right

  Acute

  Obtuse

  Straight

• Straight

  Obtuse

  Right

  Acute

• Acute

  Right

  Obtuse

  Straight

Congruent Angles

HAVE THE SAME MEASUREMENT!

TAKE DOWN EVERYTHING ON THE NEXT SLIDE!

Multiple Choice

What Angle Pair Relationship is shown?

• Vertical

• Supplementary

• Complementary

Multiple Choice

What Angle Pair Relationship is shown?

• Vertical

• Supplementary

• Complementary

Multiple Choice

What Angle Pair Relationship is shown?

• Vertical

• Adjacent

• Complementary

• Supplementary

Solving For a Missing Angle

Step 1: What is the RELATIONSHIP ?

Step 2: Write an equation to solve

Step 3: Use inverse operations to solve

Ex: Complementary angles, one is 40 degrees.

90 - 40 = x => 50 degrees.

Multiple Choice

What is the missing degree measure?

[HINT: These angles are Complementary!]

• 90 degrees

• 73 degrees

• 17 degrees

• 180 degrees

Multiple Choice

What is the missing degree measure for Angle 1?

[HINT: These angles are Vertical Angles!]

• 162

• 18

• 72

Multiple Choice

What is the value of x?

[Hint: These angles are supplementary]

• 162

• 62

• 28

• 80