Question

tab through this activity to read the feedback for your answers.

find \\(x\\).

the interior angle and the exterior angle make a linear pair.

the interior angle is a right angle, so the measure of its exterior angle is \\(90^\circ\\).

find \\(y\\).

since the two interior angles are congruent, both of their exterior angles are congruent.

the other missing angle is also \\(y^\circ\\).

write an equation to find the sum of the exterior angles.

\\(67^\circ + 75^\circ + \\) \\(^\circ + y + y = \\) \\(^\circ\\)

Explanation:

Identify the sum of exterior angles of a polygon

$$ S_{\text{ext}} = 360^\circ $$

Identify the given exterior angles

$$ \theta_1 = 67^\circ,\quad \theta_2 = 75^\circ,\quad \theta_3 = 90^\circ $$

Write the complete equation

$$ 67^\circ + 75^\circ + 90^\circ + y + y = 360^\circ $$

Answer:

Write an equation to find the sum of the exterior angles.

\(67^\circ + 75^\circ +\) <blank>\(90\)</blank> \(^\circ + y + y =\) <blank>\(360\)</blank> \(^\circ\)