Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
In the triangles above,
(A) 15
(B) 30
(C) 45
(D) 60
(E) 105
The Correct answer is C.
Explanation
To evaluate the expression , it is necessary to determine the values of and. Since the sum of the measures of the angles of any triangle is degrees, and a right angle has measure degrees, the value of can be found by solving the equation . This yields . The value of can be found by solving the equation . This yields . Finally, the values for and are substituted into the expression to obtain