In a city, 6th and 7th avenues are parallel and the corner that the pizza palace is on is a 54° angle. what is the measure of the angle that is made with 7th ave and broadway on the corner of the shake hut?

The measure of the angle that is made with 7th Ave and Broadway on the corner of The Shake Hut is 126°.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the angle opposite the Pizza palace, hence:

x = 54° (vertical opposite angles are equal)

Also:

The snake hut + x = 180 (consecutive angles are supplementary)

The snake hut + 54 = 180

The snake hut = 126°

The measure of the angle that is made with 7th Ave and Broadway on the corner of The Shake Hut is 126°.

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Denote

- 6th Avenue,

- 7th Avenue,

P - The Pizza Palace and S - The Shake Hut.

Therefore, you have two parallel lines , and transversal PS. Given m∠P=54°, you have to find m∠S. Angles are consecutive interior angles with property

m∠P+m∠S=180°.

Then m∠S=180°-54°=126°.

126°

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