Question inters
Intersecting lines r, s, and t are shown below.
What is the value of x ?
Intersecting lines r , s , and t are shown below. What is the value of
Hard-difficulty · SAT Math · Lines, Angles, and Triangles — Angle relationships (parallel lines). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
The correct answer is 97. The intersecting lines form a triangle, and the angle with measure of 
is an exterior angle of this triangle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles of the triangle. One of these angles has measure of 
and the other, which is supplementary to the angle with measure 
, has measure of 
. Therefore, the value of x is 
.
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