Question

60"FMostly cloudyQuestion4The measure of one angle of a right triangle is 56° more than the measure of the smallest angle. Find the measure of thesmallest angle.Sorry, that's incorrect. Try again?FEEDBACKVIEW ANSWERSUBMITContent attribution11ASUS

Answer 1

The measure of the smallest angle is 17º

Step-by-step explanation:

The 3 angles of a right triangle add up to 180. If we call A the bigger angle, and B the smallest:

`180º=90º+A+B`

Which means:

`A+B=90º`

We also know that the smallest triangle plus 56º is the bigger triangle. This is:

`A=B+56º`

Now we have the equation system: