McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
Standardized Test Practice

Exercise 3 Page 400

Look at the position of the given angles.

F

Practice makes perfect

The are two angles given on the diagram, an interior angle at S and an exterior angle at T.

The Exerior Angle Theorem connects the measure of an exterior angle of a triangle to the remote interior angles of the same triangle. The sum of the measures of the interior angles atSandR is the measure of the exterior angle atT. We are given the measure of the exterior angle at T and the interior angle at S, so we can use this relationship to find m∠ R.
68+m∠ R=125
m∠ R=57
The measure of the interior angle ∠ R is 57^(∘), so the correct answer choice F.