Warm Up 08.26.11 Week 2 R Q S T P 1) Name an Obtuse angle? 2) Acute angle? 3) Straight angle?

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Presentation transcript:

Warm Up Week 2 R Q S T P 1) Name an Obtuse angle? 2) Acute angle? 3) Straight angle?

Geometry 1.6 Day 1 I will identify Vertical Angles and Linear Pairs Vertical Angles Their sides form two pairs of opposite rays. Vertical angles are congruent. Ex ∠4 and ∠2 are vertical angles ∠3 and ∠1 are vertical angles ∠4 ≅ ∠2 ∠3 ≅ ∠1 m∠4 = m∠2m∠3 = m∠1

Ex 2 ∠1 and ∠2 are vertical angles 1 if the m∠1 = 150º, then the m∠2 = _____ 2 150º m∠1 = m∠2 150º = ∠2 ∠1 ≅ ∠2

Ex 3 ∠QPR and ∠TPS are vertical angles ( 7x – 10 ) ⁰ ( 2x + 55 ) ⁰ R Q S T P m∠QPR = m∠TPS 7x – 10 = 2x x - 2x – 10 = 55 5x – 10 = 55 5x = x = 65 x = 13 Find the Variable ∠QPR ≅ ∠TPS

Ex 4 Linear Pairs Linear Pair angles are adjacent angles that add up to 180º and their noncommon sides are opposite rays. 1 2 ∠1 and ∠2 are linear pairs m∠1 + m∠2 = 180º

Ex 5 ∠1 and ∠2 are linear pairs m∠1 + m∠2 = 180º 1 25 º m∠1 + 25º = 180º m∠1 = 180º - 25º m∠1 = 155º 2

Ex 6 ( 2x – 13 )º ( 3x + 33 )º linear pairs 2x – x + 33 = 180 5x + 20 = 180 5x = x = 160 x = 32

2x – 13 2( 32 ) – – 13 51º 3x ( 32 ) º 51º + 129º = 180º

Ex 7 ∠6 and ∠7 are linear Pairs 6 if the m∠6 = 145º, then the m∠7 = _____ 7 35º m∠6 + m∠7 = 180º 145º + m∠7 = 180º m∠7 = 180º - 145º m∠7 = 35º

Quiz : Textbook page 48, 23 – 30 all

Review Quiz : Textbook page 48, 24 – 33 all Linear pairs add up to ______º. Do 1: ( 9x – 6 ) ( 7x + 6 ) R Q S T P