Find all the missing angles and show your work.

m∠1= 129

m∠2= 18

m∠3= 123

m∠4= 39

Step-by-step 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! :)

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