Question

the measure of an angle is \\(172^{\circ}\\). what is the measure of its supplementary angle?

Explanation:

Define supplementary angles

Using the Supplementary Angles knowledge point

$$ \theta_1 + \theta_2 = 180^\circ $$

Set up the equation

Using the Supplementary Angles knowledge point

$$ 172^\circ + x = 180^\circ $$

Solve for the unknown angle

Using the Supplementary Angles knowledge point

$$ x = 180^\circ - 172^\circ = 8^\circ $$

Answer:

The measure of an angle is \(172^\circ\). What is the measure of its supplementary angle?
<blank>\(8^\circ\)</blank>