Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
In the figure above, if is a quadrilateral and
is a triangle, what is the sum of the degree measures of the marked angles?
(A) 420
(B) 490
(C) 540
(D) 560
(E) 580
The Correct answer is C.
Explanation
The marked angles in the figure are angles P, Q, R, and S, which are the angles of a quadrilateral, and angles T, U , and V, which are the angles of a triangle. The sum of the degree measures of the angles of a quadrilateral is 360, and the sum of the degree measures of the angles of a triangle is 180. Therefore, the sum of the degree measures of the marked angles is 360 plus 180, which is 540.