Question

an angle measures 161.4° less than the measure of its supplementary angle. what is the measure of each angle? and

Explanation:

Step1: Set up the equation

Let one angle be $x$ degrees. Its supplementary angle is $(180 - x)$ degrees. Given that one angle measures 161.4° less than its supplementary angle, so $x=(180 - x)-161.4$.

Step2: Solve the equation for $x$

First, expand the right - hand side: $x = 180 - x-161.4$. Then, add $x$ to both sides: $x+x=180 - 161.4$. Combine like terms: $2x = 18.6$. Divide both sides by 2: $x=\frac{18.6}{2}=9.3$.

Step3: Find the supplementary angle

The supplementary angle is $180 - x$. Substitute $x = 9.3$ into it, we get $180-9.3 = 170.7$.

Answer:

$9.3$ and $170.7$