sat suite question viewer

Geometry and Trigonometry / Lines, angles, and triangles Difficulty: Easy

In the figure, line $p$ is parallel to line $q$ , and line $t$ intersects both lines. What is the value of $x plus 142$ ?

Back question 71 of 79 Next

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79

Explanation

Choice D is correct. In the figure shown, the angle marked $x °$ and the angle marked $142 degree$ form a linear pair of angles. If two angles form a linear pair of angles, the sum of the measures of the angles is $180 degree$ . Therefore, the value of $x plus 142$ is $180$ .

Choice A is incorrect. This is $90$ less than $142$ , not the sum of $x$ and $142$ .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This is the measure, in degrees, of one of the angles shown.