Question

20 which equation could be used to solve for the value of x in the figure shown? image of two intersecting lines with angles x° and (5x - 48)° options: a ( x + (5x - 48) = 180 ), b ( x = 5x - 48 ), c ( x + (5x - 48) = 90 ), d ( x = 90 + (5x - 48) )

Explanation:

Step1: Identify Vertical Angles

The two angles \( x^\circ \) and \( (5x - 48)^\circ \) are vertical angles. Vertical angles are equal.

Step2: Set Up the Equation

Since vertical angles are equal, we set \( x \) equal to \( 5x - 48 \), so the equation is \( x = 5x - 48 \).

Answer:

B. \( x = 5x - 48 \)