Question

Solve to find x and y in the diagram. HELP PLEASE!!!

Answer 1

6x = 90

  x = 90/6

  x = 15

4x + 10y = 90

4(15) + 10y = 90

60 + 10y  = 90

10y = 30

y = 3

Answer: Last option

x = 15, y = 3

Answer 2

Answer:

D. $x=15$, $y=3$

Step-by-step explanation:

We have been given a diagram. We are asked to find the value of x and y for given diagram.

We can see that 6x will be equal to 90 degrees as it is complementary to 90 degrees angle.

We can represent this information in an equation as:

$6x=90$

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

$x=15$

We can also see that $4x+10y$ and 90 degree angle are alternate exterior angles, so their measure will be equal.

$4x+10y=90$

$4(15)+10y=90$

$60+10y=90$

$60-60+10y=90-60$

$10y=30$

$\frac{10y}{10}=\frac{30}{10}$

$y=3$

Therefore, option D is the correct choice.