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