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Answer:
Needed: Protractor, Manila Paper, and Ruler. Procedures: 1. Measure the numbered angles of ∆HEY, ∆DAY, and ∆JOY. 2. Replicate the table in this activity on a piece of manila paper. 3. Indicate the measures on your table and write your answers to the questions on a piece of manila paper. 1. Compare the measure of exterior ∠1 with either remote interior ∠4 or ∠6 using the relation symbols >, <, or =. • In ∆HEY, m∠1 is > m∠4. • In ∆HEY, m∠1 is > m∠6. • In ∆DAY, m∠1 is = m∠4. • In ∆DAY, m∠1 is > m∠6. • In ∆JOY, m∠1 is > m∠4. • In ∆JOY, m∠1 is > m∠6.
2. 2. Compare the measure of exterior ∠2 with either remote interior ∠5 or ∠6 using the relation symbols >, <, or =. • In ∆HEY, m∠2 is > m∠5. • In ∆HEY, m∠2 is > m∠6. • In ∆DAY, m∠2 is > m∠5. • In ∆DAY, m∠2 is > m∠6. • In ∆JOY, m∠2 is < m∠5. • In ∆JOY, m∠2 is > m∠6. 3. Compare the measure of exterior ∠3 with either remote interior ∠4 or ∠5 using the relation symbols >, <, or =. • In ∆HEY, m∠3 is > m∠4. • In ∆HEY, m∠3 is > m∠5. • In ∆DAY, m∠3 is > m∠4. • In ∆DAY, m∠3 is > m∠5. • In ∆JOY, m∠3 is > m∠4. • In ∆JOY, m∠3 is > m∠5.
3. 4. Making? Conjecture: Your comparison between the measure of an exterior angle of a triangle and either interior angle in this activity describes the Exterior Angle Inequality Theorem. With the pattern that you observed, state the exterior angle inequality theorem. • The measure of an exterior angle of a triangle is triangle is greater than either of the non-adjacent interior angles.
Step-by-step explanation:
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