Question

In the diagram of movie theater seats, the incline of the floor, f, is parallel to the seats, s.

if m<1= 60, what is c?

if m<1= 68, what is y?
HELPPP PLEASEEE

Answer 1

16. x = 40

17. y = 15

Explanation:

16. Given that f is parallel to s, therefore by the corresponding theorem and linear pair theorem, <1 + 3x = 180°

60° + 3x = 180° (substitution)

3x = 180° - 60° (Subtraction property of equality)

3x = 120°

x = 120/3 (division property of equality)

x = 40

17. Since f and s are parallel, therefore,

m<1 = (5y - 7)° (alternate interior angles are congruent)

68° = 5y - 7 (substitution)

68 + 7 = 5y (addition property of equality)

75 = 5y

75/5 = y (division property of equality)

15 = y