Question

what is the measure of angle x?
73°
x
97°
100°
17°
107°

Explanation:

Step1: Identify angle relationship

The 73° angle and angle \( x \) are supplementary (they form a linear pair, so their sum is \( 180^\circ \)).

Step2: Calculate \( x \)

Use the supplementary angle formula: \( x = 180^\circ - 73^\circ \).
\( x = 107^\circ \)? Wait, no—wait, wait, no, wait. Wait, actually, the 73° and \( x \) are adjacent and form a linear pair? Wait, no, looking at the diagram, the 73° and \( x \) are adjacent angles on a straight line? Wait, no, maybe I misread. Wait, no, the two angles (73° and \( x \))—wait, no, actually, the 73° and \( x \) are supplementary? Wait, no, wait, the 73° and \( x \): wait, no, maybe vertical angles? No, no, the diagram shows two intersecting lines. Wait, the 73° angle and \( x \) are adjacent, forming a linear pair? Wait, no, 73 + x = 180? Wait, 180 - 73 = 107? Wait, but let me check again. Wait, the angle given is 73°, and \( x \) is adjacent to it, so they are supplementary. So \( x = 180 - 73 = 107 \)? Wait, but the options have 107°? Wait, no, wait, maybe I made a mistake. Wait, no, 73 + 107 = 180. So yes, \( x = 107^\circ \)? Wait, but let me check the options. The options are 97, 100, 17, 107. So 107 is an option. Wait, but wait, maybe the angle is complementary? No, no, linear pair is 180. So 180 - 73 = 107. So \( x = 107^\circ \).

Wait, no, wait, maybe I messed up. Wait, the diagram: two lines intersect, so the 73° and \( x \) are adjacent, forming a linear pair. So their sum is 180. So 180 - 73 = 107. So \( x = 107^\circ \).

Answer:

\( 107^\circ \) (corresponding to the option with 107°)