Answer:
[tex]\huge\boxed{m\angle 1 = 131 \textdegree}[/tex]
[tex]\huge\boxed{m\angle 2 = 49 \textdegree}[/tex]
[tex]\huge\boxed{m\angle 3 = 112 \textdegree}[/tex]
Step-by-step explanation:
We can use basic angle relationships to find the measure of angles 1, 2, and 3 here.
First off, we know that the 49° angle and m∠1 are supplementary. This means that their angle measures will add up to 180°.
Since we know one, we can find the other easily.
[tex]x + 49 = 180\\\\x = 180-49\\\\x = 131[/tex]
So m∠1 = 131°.
We also know that m∠2 is opposite to the 49° angle. This means that m∠2 is also 49°.
Now, we know that m∠3 is also opposite to the 112° angle. Therefore, their angle measures are the same, and m∠3 is also 112°.
Hope this helped!
