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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 PresentationTRANSCRIPT
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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.
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Objective
Identify and apply angle relationships
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Vocabulary
Vertical angles
Opposite angles formed by the intersection of two lines
1
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Vocabulary
Congruent angles
Angles that have the same measure
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Vocabulary
Supplementary angles
Two angles that have the sum of their measures as 1800
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Vocabulary
Complementary angles
Two angles are complementary if the sum of their measures is 900
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Math Symbols
Is congruent to
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Example 1 Classify Angles
Example 2 Classify Angles
Example 3 Find a Missing Angle Measure
Example 4 Use Angles to Solve A Problem
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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
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Answer: complementary
Classify the pair of angles as complementary, supplementary, or neither
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Classify the pair of angles as complementary, supplementary, or neither
x and y form a right angle
Complementary
Right angle = 900
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Meets the definition of complementary anglesAnswer:
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Answer: supplementary
Classify the pair of angles as complementary, supplementary, or neither
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Angles PQS and RQS are supplementary.If mPQS 56, find mRQS.
560
PQS and RQS are supplementary
Remember: Supplementary angles = 1800
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mPQS is 560
mPQS + mRQS = 1800
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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
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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
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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
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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
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Angles MNP and KNP are complementary. If mMNP 23, find mKNP.
Answer: m KNP = 67
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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
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A right angle = 900
Write an equation
x0 + 700 = 900
Solve for the unknown
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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
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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
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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