To get to school Eliza walks east to the corner of her street and then turns north 90 degrees to the left when she reaches the school she realizes that she forgot her lunch and turns southwest 144 degrees to the left to face her house she then walks straight toward her house by cutting across the soccer field sketch a triangle torepresent her route toschool and back home label the angles at each turn in her route.
WHAT ANGLE DOES HER SHORTCUT MAKE WITH HER ORIGINAL ROUTE TO SCHOOL?
To find the angle of her shortcut with her original route to school, we need to calculate the change in direction between the two routes.
Step 1: Sketching the Triangle
We start by sketching a triangle to represent Eliza's route to school and back home. Let's label the points A (her house), B (corner of the street), and C (school). The line segment AB represents her route to school, and the line segment AC represents her route back home.
Step 2: Labeling the Angles
Now, we need to label the angles at each turn in her route.
- At the corner of her street, Eliza turns north 90 degrees to the left. Let's label this angle as angle A.
- After realizing she forgot her lunch at school, Eliza turns southwest 144 degrees to the left to face her house. Let's label this angle as angle B.
Step 3: Finding the Angle of Her Shortcut
To find the angle of her shortcut, we need to subtract angle A and angle B from 180 degrees.
Shortcut Angle = 180 degrees - angle A - angle B.
By substituting the values for angle A and angle B, we can calculate the angle of her shortcut.