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 th

Question

maxonik [38]

3 years ago

12

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 th

e angle that is made with 7th Ave and Broadway on the corner of The Shake Hut?

Mathematics

2 answers:

mojhsa [17] · Answer 1 · 2022-07-24T01:26:24+03:00

Denote

$a_6$ - 6th Avenue,

$a_7$ - 7th Avenue,

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

Therefore, you have two parallel lines $a_6$ , $a_7$ 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°.

Answer: 126°

tatuchka [14] · Answer 2 · 2022-07-23T22:58:25+03:00

tatuchka [14]3 years ago

3 0

<span> 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?
126°</span><span>
</span>