body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

5. Measuring and Constructing Angles

Continue to next subchapter

Exercise 42 Page 421

How can you use the Angle Addition Postulate?

75^(∘)

Practice makes perfect

Let's draw a simplified version of the map where the streets are replaced by rays. We name the rays by the first letter of the street names.

From the exercise, we learn that the measure of the angle between Malcolm Way and Sydney Street is 162^(∘). Let's mark this on the map.

Park Road intersects Sydney Street at an angle of 87^(∘) and Malcom Way intersects Park Road at an unknown angle, x. Let's mark this on our map.

By using the Angle Addition Postulate, we can find x. 87^(∘) + x = 162^(∘) ⇒ x=75^(∘) The angle with which Park Road intersects Malcom Way is 75^(∘).

Subchapter links

Communicate Your Answer p.413

Monitoring Progress p.414-418

Exercises p.419-422