Question Bank / Math / Lines, Angles, and Triangles

Lines, angles, and triangles SAT question

Math · Geometry and Trigonometry · Easy · Answer it here, explanation included.

In the figure shown, line $m$ is parallel to line $n$ . What is the value of $x$ ?

ExplanationShow

Choice D is correct. The sum of consecutive interior angles between two parallel lines and on the same side of the transversal is $180$ degrees. Since it's given that line $m$ is parallel to line $n$ , it follows that $x + 26 = 180$ . Subtracting $26$ from both sides of this equation yields $154$ . Therefore, the value of $x$ is $154$ .

Choice A is incorrect. This is half of the given angle measure.

Choice B is incorrect. This is the value of the given angle measure.

Choice C is incorrect. This is twice the value of the given angle measure.

Drill this skill on Aceit

Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.

Practice this skill

More Lines, angles, and triangles questions

Triangle upper A upper C upper D partially overlaps triangle upper E upper B upper D. Point upper C is on line segment upper B upper D. Point upper E is on line segment upper A upp
From left to right, horizontal line segment upper P upper V includes the following points: Upper P Upper Q Upper R Upper S Upper T Upper V Points upper X and upper U are each bel
What is the value of x ?
Clockwise from top left, the 3 lines are labeled t, m, and n. Line t intersects both line m and line n. At the intersection of line t and line m, 1 angle is labeled clockwise from
In the given triangle, and has a measure of . What is the value of x ?
In the figure above, and intersect at point P, , and . What is the measure, in degrees, of ? (Disregard the degree symbol when gridding your answer.)