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?
Accepted Solution
A:
Denote [tex] a_6 [/tex] - 6th Avenue,[tex] a_7 [/tex] - 7th Avenue,P - The Pizza Palace and S - The Shake Hut.Therefore, you have two parallel lines [tex] a_6 [/tex], [tex] a_7 [/tex] 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°