Question

Question

Consider the diagram.

A triangle with interior angles labeled w degrees, x degrees, and y degrees. A ray extends to the left on the top side of the triangle to create an exterior angle labeled z degrees.

Which equations are true? Select all true equations.

Answer 1

Answer: 1, 2, 5

Explanation:

The first equation is true because angles in a triangle add to 180 degrees.

The second equation is true because both sides equal 180 degrees (left hand side is a straight angle, right hand side is the sum of angles in a triangle)

The third equation is not true because z = 180 - y, and 180-y+w+z is not 180.

The fourth equation is not true because z=180-y, and 180-y=w+y is not always true.

The fifth equation is true by the exterior angle theorem.