Answer:
![\large\boxed{y=67.6^\circ}](https://img.qammunity.org/2023/formulas/mathematics/high-school/glzah9ea96ri7mwscnzuxzsgjny6moaojo.png)
Explanation:
How to find the measure of a supplementary angle?
Recall that if we add two supplementary angles, the sum will ALWAYS be
. From this information we can derive an equation, where
is always the unknown angle, and the known angle is given by the value
:
![y+x=180](https://img.qammunity.org/2023/formulas/mathematics/high-school/huj88kpjkocsjv7zfmujwrha1o7psc5pli.png)
We know that
;
![y+112.4=180](https://img.qammunity.org/2023/formulas/mathematics/high-school/dikir1lh0qcp35779zartmbq60ubolr0rz.png)
→ Decrease both sides by
.
![y=67.6^\circ](https://img.qammunity.org/2023/formulas/mathematics/high-school/vbfi5ojflsu0d8hea4ef37rpfjkl0v710e.png)