Answer:
m∠1= 129
m∠2= 18
m∠3= 123
m∠4= 39
Explanation:
Let's start off with finding the m∠2 in the triangle.
As you can see, this is a right triangles. So, the measure's of 72 and m∠2 sum up to 90 degrees. The equation would be: 72+m∠2= 90.
Step 1- Subtract 72 to both side.s
72+m∠2= 90
-72 -72
m∠2= 18
Now that we know the measure of m∠2, let's move on to m∠1.
Remember that a triangle always sums up to 180 degrees. So, the equation would be: 72+57+m∠1= 180.
Step 1- Add to simplify.
(72+57)+m∠1= 180
129+m∠1= 180
Step 2- Subtract 129 to both sides.
129+m∠1= 180
-129 -129
m∠1= 129
So, now we know the measure of m∠1. In order to find the m∠3, remember that a straight line always equals 180 degrees. So, the equation would be: 57+m∠3= 180.
Step 1- Subtract 57 to both sides.
57+m∠3= 180
-57 -57
m∠3= 123
Finally, to find the m∠4. As I mentioned earlier, a triangles sums up to 180 degrees. So, the equation would be: 123+18+m∠4= 180.
Step 1- Add to simplify.
(123+18)+m∠4= 180
141+m∠4= 180
Step 2- Subtract 141 to both sides.
141+m∠4= 180
-141 -141
m∠4= 39
Now we know all the measures of the missing angles!
Hope this helped you understand! :)