Question

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.

Answer 1

see the explanation

Explanation:

First way

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

In this problem

37+97+134 > 180

therefore

At least one of Franklin's measures is incorrect

Second way

we know that

A triangle can only have at most one obtuse internal angle.

In this problem the triangle has two obtuse internal angles

Remember that an obtuse angle is an angle greater than 90 degrees

therefore

At least one of Franklin's measures is incorrect