Math / Geometry

Question2.

Studdy Solution

STEP 1

1. Vertical angles are congruent.
2. The given angle is $84^\circ$ .

STEP 2

1. Identify the vertical angles.
2. Use the property of vertical angles to find the unknown angle.

STEP 3

Identify the pairs of vertical angles formed by the intersecting lines. Vertical angles are the angles opposite each other when two lines intersect.

STEP 4

Recall the property of vertical angles: they are always equal. This means that if one angle is $84^\circ$ , the angle directly opposite to it (the one marked with a question mark) is also $84^\circ$ .
The measure of the angle marked with a question mark is:
$\boxed{84^\circ}$

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