Page 41 - Math Course 2 (Book 2)

Lines and Angles

Real World Example

TRANSPORTATION

A road crosses railroad tracks at an angle as shown.
If m∠1 = 131°, find m∠6 and m∠5.

Since ∠1 and ∠5 are corresponding angles, they are
congruent.
1 2

Answer m∠5 = 131° 4 3

Since ∠5 and ∠6 are supplementary angles, the sum 5 6
of their measures is 180°.180 – 131 = 49
8 7

Answer m∠6 = 49°

Your Turn!

Find Measures of Angles Real World Example

In the figure, m || n and t is a transversal. TRANSPORTATION Main Street crosses Broadway
If m∠4 = 57°, find m∠5 and m∠1. Boulevard and Maple Avenue at an angle as shown.
If m∠1 = 48°, find m∠3 and m∠4.
A. m∠5 = 57°; m∠1 = 57°
B. m∠5 = 123°; m∠1 = 123° A. m∠3 = 132°; m∠4 = 48°
C. m∠5 = 57°; m∠1 = 123° B. m∠3 = 48°; m∠4 = 132°
D. m∠5 = 123°; m∠1 = 57° C. m∠3 = 48°; m∠4 = 42°
D. m∠3 = 42°; m∠4 = 138°
m n

1 3 Main
7 5 Broadway 1 2
4 2
8 4 3
6
S Maple 8 5 7 6

9 11 13 10 t
14
15 12 16

Answer Answer

33