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Lines, angles, and triangles SAT question
Math · Geometry and Trigonometry · Hard · Answer it here, explanation included.
Intersecting lines r, s, and t are shown below.
What is the value of x ?
Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.
ExplanationShow
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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