Question

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 + 90^\circ + y + y = 360^\circ\\)

combine like terms.

\\(\text{ }^\circ + 2y = \text{ }^\circ\\)

subtract from both sides of the equation.

\\(2y = \text{ }^\circ\\)

Explanation:

Combine like terms

$$
LATEXBLOCK0
$$

Subtract from both sides of the equation

$$
LATEXBLOCK1
$$

Solve for y

$$
LATEXBLOCK2
$$

Answer:

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.
\(67^{\circ} + 75^{\circ} + 90^{\circ} + y + y = 360^{\circ}\)

Combine like terms.
<blank>232</blank>\(^{\circ} + 2y =\) <blank>360</blank>\(^{\circ}\)

Subtract from both sides of the equation.
\(2y =\) <blank>128</blank>\(^{\circ}\)

Divide both sides by 2 to find \(y\).
\(y =\) <blank>64</blank>