Question

find the value of x and y.
7)
3y+8
(3x + 1)°
31°

Explanation:

Step1: Use vertical angles

Vertical angles are equal. So \(3y + 8=31\).
Solve for \(y\):
\(3y=31 - 8\)
\(3y=23\)
\(y=\frac{23}{3}\)

Step2: Use linear - pair angles

Angles on a straight line sum to \(180^{\circ}\). So \((3x + 1)+31 = 180\).
Solve for \(x\):
\(3x+32 = 180\)
\(3x=180 - 32\)
\(3x=148\)
\(x=\frac{148}{3}\)

Answer:

\(x = \frac{148}{3}\), \(y=\frac{23}{3}\)