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Transparency 3. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 3-4b. Objective. Identify and apply angle relationships. Example 3-4b. Vocabulary. Vertical angles. Opposite angles formed by the intersection of two lines. 1. Example 3-4b. - PowerPoint PPT Presentation
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Click the mouse button or press the Click the mouse button or press the Space Bar to display the answers.Space Bar to display the answers.
Objective
Identify and apply angle relationships
Vocabulary
Vertical angles
Opposite angles formed by the intersection of two lines
1
Vocabulary
Congruent angles
Angles that have the same measure
Vocabulary
Supplementary angles
Two angles that have the sum of their measures as 1800
Vocabulary
Complementary angles
Two angles are complementary if the sum of their measures is 900
Math Symbols
Is congruent to
Example 1 Classify Angles
Example 2 Classify Angles
Example 3 Find a Missing Angle Measure
Example 4 Use Angles to Solve A Problem
Classify the pair of angles as complementary, supplementary, or neither
Answer:.
Add the two angle measurements together
1800
Supplementary
1/4
1280 + 520
Meets the definition of supplementary angles
Answer: complementary
Classify the pair of angles as complementary, supplementary, or neither
1/4
Classify the pair of angles as complementary, supplementary, or neither
x and y form a right angle
Complementary
Right angle = 900
2/4
Meets the definition of complementary anglesAnswer:
Answer: supplementary
Classify the pair of angles as complementary, supplementary, or neither
2/4
Angles PQS and RQS are supplementary.If mPQS 56, find mRQS.
560
PQS and RQS are supplementary
Remember: Supplementary angles = 1800
3/4
mPQS is 560
mPQS + mRQS = 1800
Angles PQS and RQS are supplementary.If mPQS 56, find mRQS.
560
3/4
Replace mPQS with 560
mPQS + mRQS = 1800
560
Bring down + mRQS = 1800
+ mRQS = 1800
Solve for the unknown mRQS
Angles PQS and RQS are supplementary.If mPQS 56, find mRQS.
3/4
Ask “what is being done to the variable?”mPQS + mRQS = 1800
560 + mRQS = 1800 The variable (mRQS) is being added by 560
Do the inverse on both sides of the equal sign
Bring down 560
560
Subtract 560
- 560
Angles PQS and RQS are supplementary.If mPQS 56, find mRQS.
3/4
mPQS + mRQS = 1800
560 + mRQS = 1800
Bring down + mRQS = 1800
560
Subtract 560
- 560 - 560 + mRQS = 1800 Combine “like” terms00 Bring down + mRQS =
Combine “like” terms
+ mRQS = 1240
Angles PQS and RQS are supplementary.If mPQS 56, find mRQS.
3/4
mPQS + mRQS = 1800
560 + mRQS = 1800
Use the Identify Property to add 00 + mRQS
560 - 560 - 560 + mRQS = 1800
00 + mRQS = 1240
mRQS = 1240 Answer:
Bring down 1240
Angles MNP and KNP are complementary. If mMNP 23, find mKNP.
Answer: m KNP = 67
3/4
GEOMETRY The rectangle shown is divided by a diagonal. Find the value of x.
The angle that x0 and 700 make is a right angle
4/4
A right angle = 900
Write an equation
x0 + 700 = 900
Solve for the unknown
GEOMETRY The rectangle shown is divided by a diagonal. Find the value of x.
4/4
x0 + 700 = 900 Ask “what is being done to the variable?”
The variable is being added by 700
Do the inverse on both sides of the equal sign
Bring down x0 + 700
X0 + 700
Subtract 700
- 700
GEOMETRY The rectangle shown is divided by a diagonal. Find the value of x.
4/4
x0 + 700 = 900 Bring down = 900
x0 + 700
Subtract 700 - 700 = 900 - 700
Combine “like” terms
Bring down x0 +
x0 + 00
Bring down = =
Combine “like” terms
200
Use the Identify Property to add x + 00
x0 = 200
Answer:
Bring down 200
GRAPHING In the circle graph shown below, find the value of x.
Answer: x = 620
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Assignment Lesson 10:3 Angle Relationship 3 - 21 All
