find the values of x and y.
x =
y =

Question

Accepted Answer

# Explanation:
## Step1: Find the value of $x$
Since the sum of angles around a point on a straight line (semicircle) is $180^{\circ}$.
We know that $128^{\circ}+(12x + 5)^{\circ}=180^{\circ}$
$$
\begin{align*}
12x+5&=180 - 128\
12x+5&=52\
12x&=52 - 5\
12x&=47\
x&=\frac{47}{12}\quad(\text{This is wrong. Wait, no! Wait, actually, looking at the right - angle. The sum of angles in a right - angle (three angles: $49^{\circ}$, right angle $90^{\circ}$, and $(12x + 5)^{\circ}$) is $180^{\circ}$. So $49+(12x + 5)+90=180$})\
49+12x+5 + 90&=180\
12x+(49 + 5+90)&=180\
12x+144&=180\
12x&=180 - 144\
12x&=36\
x& = 3
\end{align*}
$$
## Step2: Find the value of $y$
Since the sum of angles in a right - triangle (the right - angle is $90^{\circ}$, one angle is $49^{\circ}$, and $y^{\circ}$)
We know that $y+49=90$ (because the two non - right angles in a right - triangle are complementary)
$$y=90 - 49=41$$

# Answer:
$x = 3$, $y = 41$

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QUESTION IMAGE

Question

Explanation:

Step1: Find the value of \(x\)

Step2: Find the value of \(y\)

Answer: