Transcription of Worksheet – Section 2-8 Proving Angle Relationships
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Worksheet – Section 2-8 Proving Angle Relationships
Worksheet Section 2-8 Proving Angle RelationshipsObjectives: Understand the Angle Addition Postulate and use it to find unknown Angle measures Understand Supplements and Compliments and use to find unknown Angle measures Use algebra to find unknown Angle measure Use Angle relation theorems to prove Relationships with 2 column proofsAngle Addition PostulateR is in the interior of PQS if and only if m PQR + m RQS = m : find the measure of Angle 1 if the measure of Angle 2 is 56 degrees and Practice:If and , find the measure of Angle 3. Justify each and Complements If two angles forma linear pair, then they are supplementary angleIf 1 and 2 form a linear pair, then m 1 + m 2 = 180. If the noncommon sides of two adjacent angles form a right Angle , then the angles are complementary , then m 3 + m 4 = :Suppose and form a linear pair.
Use algebra to find unknown angle measure Use angle relation theorems to prove relationships with 2 column proofs Angle Addition Postulate R is in the interior of ∠PQS if and only if m∠PQR + m∠RQS = m∠PQS. Example: Find the measure of angle 1 if the measure of angle 2 is 56 degrees and Practice: If and , find the measure of angle 3 ...
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