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QUESTION IMAGE

find the missing measure. 51° and x° are therefore, they x =

Question

find the missing measure.
51° and x° are
therefore, they
x =

Explanation:

Step1: Identify angle relationship

The angles \(51^\circ\) and \(x^\circ\) are vertical angles. Vertical angles are formed by two intersecting lines and are opposite each other.

Step2: Apply vertical angles property

Vertical angles are equal in measure. So, if two angles are vertical angles, their measures are equal.
Since \(51^\circ\) and \(x^\circ\) are vertical angles, we have \(x = 51\).

Answer:

\(x = 51\)

For the dropdowns:

  • The first dropdown (describing the angle relationship): vertical angles
  • The second dropdown (describing their measure relationship): are equal