In the diagram of a gate, the horizontal bars are parallel and the vertical bars are parallel. Find x and y. Complete the explanation indicating which postulates and/or theorems were used to find the values. 165°
(15x + 6y)° gate4 75°
(5x + 6y)°

x =
y =

(15x + 6y)° =
° by the
(select)
and (5x + 6y)° =
° by the
(select)
.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b