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QUESTION IMAGE

apply theorems and postulates to find the indicated angle measure.

Question

apply theorems and postulates to find the indicated angle measure.

Explanation:

Identify the relationship between the given angles

$$ \text{Given angle} = 127^\circ $$
$$ \text{Target angle} = ? $$
$$ \text{The two horizontal lines are parallel, as indicated by the red arrows.} $$
$$ \text{The given angle and the target angle are alternate interior angles.} $$

Apply the Alternate Interior Angles Theorem

$$ \text{Alternate interior angles are equal when lines are parallel.} $$
$$ ? = 127^\circ $$

Answer:

Apply theorems and postulates to find the indicated angle measure.

The indicated angle measure is <blank>\(127^\circ\)</blank>.