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Solving Angle Measures Using Theorems and Postulates

In this lesson, we explore the relationships between angle measures through various theorems and postulates. We will analyze pairs of angles, such as corresponding angles, alternate interior angles, and same-side interior angles, to find unknown angle measures. Example problems include calculating angles where m∠1 = 120°, m∠2 = (60x)°, and others involving expressions in terms of x. By applying the Alternate Exterior Angles Theorem and other relationships, you'll learn how to solve for unknown angles systematically.

anthony-dunn
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Solving Angle Measures Using Theorems and Postulates

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  1. Lesson Quiz State the theorem or postulate that is related to the measures of the angles in each pair. Then find the unknown angle measures. 1. m∠1 = 120°, m∠2 = (60x)° 2. m∠2 = (75x – 30)°, m∠3 = (30x + 60)° Alt. Ext. ∠s Thm.; m∠2 = 120° Corr. ∠s Post.; m∠2 = 120°, m∠3 = 120° 3. m∠3 = (50x + 20)°, m∠4= (100x – 80)° 4. m∠3 = (45x + 30)°, m∠5 = (25x + 10)° Alt. Int. ∠s Thm.; m∠3 = 120°, m∠4 =120° Same-Side Int. ∠s Thm.; m∠3 = 120°, m∠5 =60°

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