SAT Mathematics Practice Test 5

Question : 20 of 58

Marks: +1, -0

Intersecting lines

r, s,

and

t

are shown below

What is the value of

x

Your Answer:

Validate

Solution:

The intersecting lines form a triangle, and the angle with measure of

x °

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

23°

and the other, which is supplementary to the angle with measure

106°

, has measure of

180°−106°=74°

. Therefore, the value of

x

23+74=97.

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