Question

if a||b, what is the value of x?
a 7
c -2
b 45
d 2

Explanation:

Step1: Use the property of parallel lines

When \(a\parallel b\), the angles \((x^{2}-4)^{\circ}\) and \(45^{\circ}\) are equal. So we have the equation \(x^{2}-4 = 45\).

Step2: Solve the equation for \(x\)

Add \(4\) to both sides of the equation:
\(x^{2}-4 + 4=45 + 4\)
\(x^{2}=49\)
Take the square root of both sides: \(x=\pm\sqrt{49}\), so \(x = 7\) or \(x=-7\). Since \(x = 7\) is one of the options.

Answer:

A. 7