Question

what is the value of \\(x\\) in trapezoid abcd?

\\(x = 15\\)
\\(x = 20\\)
\\(x = 45\\)
\\(x = 60\\)

Explanation:

Identify parallel bases

Using the Trapezoid Properties knowledge point

$$ AB \parallel CD $$

Apply consecutive interior angles theorem

Using the Consecutive Interior Angles knowledge point

$$ \angle B + \angle D = 180^\circ $$

Set up the equation

Using the Solving Linear Equations knowledge point

$$ 3x + 9x = 180 $$

Solve for x

Using the Solving Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Answer:

• (A) \(x=15\) (Correct answer)
• (B) \(x=20\)
• (C) \(x=45\)
• (D) \(x=60\)