Question

bob is building a table and needs to determine the angle between the legs and the support bar. he measures the bottom angle and determines that it is 107°. what is the measure of angle x?

Explanation:

Step1: Identify angle relationship

The angle \( x \) and the \( 107^\circ \) angle are supplementary (they form a linear pair), so their sum is \( 180^\circ \).

Step2: Calculate \( x \)

Using the supplementary angle formula: \( x + 107^\circ = 180^\circ \). Solve for \( x \): \( x = 180^\circ - 107^\circ = 73^\circ \).

Answer:

\( 73 \)