These angles are supplementary.

Question

1. X and 2. 150°
What is the measure of /_x?
x = [?]°

Answer 1

To find the measure of angle \( x \), since the angles are supplementary, we know that their sum is \( 180^\circ \).

Given:

• Angle \( x \)
• Angle = \( 150^\circ \)

The equation for supplementary angles is: \[ x + 150^\circ = 180^\circ \]

To solve for \( x \), subtract \( 150^\circ \) from both sides: \[ x = 180^\circ - 150^\circ \] \[ x = 30^\circ \]

Thus, the measure of angle \( x \) is: \[ x = 30^\circ \]