HardMath· Geometry and Trigonometry· Lines, angles, and triangles· SPR
Intersecting lines r, s, and t are shown below.
What is the value of x ?
Correct answer: 97
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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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id cb_question_bank:04ea6ab1-f8ca-4ba1-bc73-70d31103499d · question f88f27e5 · IBN 05759-DC
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