Question

1. Find the values of x and y.

a.
b.
(3x + 18)°
(5y+68)°
(3y+96)°
x = 8, y = 2
x = 20, y = 2
(5x+2)°
fal
C. x = 8, y = 14
x = 20, y = 14
d.

Answer 1

c

Explanation:

(5x + 2) and (3x + 18) are vertically opposite angles and are congruent, so

5x + 2 = 3x + 18 ( subtract 3x from both sides )

2x + 2 = 18 ( subtract 2 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

Similarly

(5y + 68) and (3y + 96) are vertically opposite angles and are congruent, so

5y + 68 = 3y + 96 ( subtract 3y from both sides )

2y + 68 = 96 ( subtract 68 from both sides )

2y = 28 ( divide both sides by 2 )

y = 14