find the values of x and y:
10.
(10x + 3)°
(16x - 18)° 12y°

Question

Accepted Answer

# Explanation:
## Step1: Use vertical angles property
Vertical angles are equal. So, $10x + 3=16x-18$.
$$
\begin{align*}
10x+3&=16x - 18\
18 + 3&=16x-10x\
21&=6x\
x&=\frac{21}{6}=\frac{7}{2}=3.5
\end{align*}
$$
## Step2: Use linear - pair property
$(10x + 3)+12y=180$ (since they form a linear pair). Substitute $x = 3.5$ into the equation.
$$
\begin{align*}
10\times3.5+3+12y&=180\
35 + 3+12y&=180\
38+12y&=180\
12y&=180 - 38\
12y&=142\
y&=\frac{142}{12}=\frac{71}{6}\approx11.83
\end{align*}
$$

# Answer:
$x = 3.5$, $y=\frac{71}{6}\approx11.83$

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QUESTION IMAGE

Question

Explanation:

Step1: Use vertical angles property

Step2: Use linear - pair property

Answer: