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Mathematics, 02.05.2021 03:10, meowmeowcow
Tacy drew a triangle to explain the relationship between the angles of a triangle and an exterior angle. She labeled the interior angles 1, 2, and 3. She labeled as 4 the exterior angle that is adjacent to angle 2.
Triangle with angles labeled 1, 2, 3, & exterior angle at angle 2 is labeled 4.
What should Stacy do to explain the relationship between an exterior angle and the interior angles in a triangle?
Stacy should first show that m∠1+m∠3=m∠2+m∠4. Then she should subtract to show that m∠1=m∠2 and m∠3=m∠4.
Stacy should first show that m∠4=m∠2. Then, since m∠1+m∠2+m∠3=180∘, she should substitute to show m∠1+m∠4+m∠3=180∘.
Stacy should first show that m∠4+m∠2=m∠1+m∠2+m∠3. Then she should subtract to show that m∠4=m∠1+m∠3.
Stacy should first show that m∠4=m∠3. Then, since m∠1+m∠2+m∠3=180∘, she should substitute to show m∠1+m∠2+m∠4=180∘.
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Tacy drew a triangle to explain the relationship between the angles of a triangle and an exterior an...
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