Fairfield 04-03-2025 Angle Basics/ 3-1

Draw

Determine as many Wordplexers as you can.

Unit Objectives

​Recognize and describe relationships among angles formed by two intersecting lines, including:

• Supplementary angles: Two angles whose measures sum to 180 degrees

• Complementary angles: Two angles whose measures sum to 90 degrees.​

• Vertical angles: Opposite angles formed by two intersecting lines are congruent.​

• Adjacent angles: Two angles that share a common side and a common vertex.

• Angle Relationships: When parallel lines are cut by a transversal:

  • Corresponding, alternate interior, and alternate exterior angles are congruent.

  • Same-side interior angles are supplementary.

​Take out your notes

Match

Match the following

• exactly 180 degrees

• exactly 90 degrees

• less than 90 degrees

• greater than 90 degrees, but less than 180 degrees

straight angle

right angle

acute angle

obtuse angle

• straight angle

• right angle

• acute angle

• obtuse angle

Draw

Name the angles using THREE LETTERS.

Classify the angles as an acute angle, a right angle, an obtuse angle, or a straight angle.

Math Response

Solve for x.

Type answer here

Correct Answer: 66

Deg^°

Rad

Multiple Choice

Solve for x.

• x = 118

• x = 108

• x = 28

• x = 58

Open Ended

Solve for x.

Put a pic of your work in the chat.

Math Response

Find the value of x.

Type answer here

Correct Answer: 19

Deg^°

Rad

Multiple Choice

Angle ABC measures 34^o. What is the measure of angle CBD?

• 17^o

• 34^o

• 68^o

Multiple Select

Check all TRUE statements.

• $$\angle ABD+\angle DCB=\angle CBA$$

• $$m\angle CBD+m\angle ABD=m\angle ABC$$

• $$\angle BCA$$ has been bisected.

• $$\overline{BD}$$ is the angle bisector.

• $$\angle ABD\cong\angle ABC$$

Multiple Choice

Which statement is TRUE?

• These are congruent angles.

• These are supplementary angles.

• These are complementary angles.

• These are adjacent angles.

• These are vertical angles.

Multiple Choice

Find the value of ∠A.

• 39 degrees
• 49 degrees
• 51 degrees
• 59 degrees

Multiple Choice

$$\overrightarrow{BD}$$  bisects $$\angle ABC$$ ,  $$m\angle ABD=3x+5$$  and  $$m\angle ABC=2x+30$$ . Find  $$m\angle DBC$$  . 

• $$15\degree$$  

• $$35\degree$$  

• $$5\degree$$  

• $$20\degree$$  

Poll

What is your level of confidence of today's lesson?

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