Franklin measured and labeled the angles of a triangle as shown. Jennifer says that at least one of his measures is incorrect. Explain in at least two different ways how Jennifer knows that this is true

Franklin measured and labeled the angles of a triangle as shown Jennifer says that at least one of his measures is incorrect Explain in at least two different w class=

Respuesta :

Explanation 1:

Jennifer knows that at least one of Franklin's measures of the angles of the triangle is incorrect because the sum of the inner angles of a triangle is equal to 180°.

When you add the shown measures you get:

  • 37° + 97° + 134° =  268° ≠ 180°, which makes this an impossible triangle.

Explanation 2:

Jennifer also can know that either the measure 97° or 134° (or even both) is incorrect.

This is so because the addition of those two measures is

  • 97° + 134° = 231°

Since 231° > 180° those measures cannot be correct because the sum  of two angles of an triangle has to be less than 180°, given that when they are summed to the other angle the sum has to be 180°.