Answer:
∠A = 48°
∠B = 88°
∠C = 44°
Step-by-step explanation:
We know that the angles in a triangle, added together, equal 180°. Because of this information, we can know that angle A, plus angle B, plus angle C should come out to a total of 180°.
So, how can we represent this using algebra? It should look like this:
[tex]48+x+(x-44)=180[/tex]
Now, it shouldn't be that hard to solve for x. My steps are shown below:
[tex]48+x+(x-44)=180\\48+x+x-44=180\\x+x+48-44=180\\2x+4=180\\2x=176\\x=88[/tex]
Now we know what x is equal to, and we can find the measure of each angle. Angle A we already know the measure of, it's 48°. Angle B has a measure of x, and we know x is equal to 88°. Angle C is equal to x - 44, which is equal to 88 - 44, or 44°.
Hopefully that makes sense! If you have questions, let me know. :)
