Question

what is x and y. help

Answer 1

Answer: $x=15, y = 20$

Step-by-step explanation:

Let's start by solving for x. We know that x is equal to 90° since there is a perpendicular bisector between the parallel line and straight line that make the angle 6x.

Equation to solve for x:

$6x = 90$

$\frac{6x}{6}$ $= \frac{90}{6}$

$x=15$

Since the sum of the angles in a 4 sided polygon is 360° we add angle 6x to the right angle, and set it equal to the angles 4y and 5y combined.

Equation to solve for y:

$6x+90 = 5y+4y$

Substitute 90 for 6x and combine like y-terms.

$90+90=9y$

$180=9y$

$\frac{180}{9}$$=\frac{9y}{9}$

$y=20$

That's it!