5272道题目5525 条题源记录 · 相同内容已合并
直线・角与多边形进阶
In the figure shown, line \( l \) intersects lines j and k. Which additional piece of information is sufficient to prove that lines j and k are parallel?
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直线・角与多边形挑战
A line intersects two parallel lines, forming four acute angles and four obtuse angles. The measure of one of these eight angles is \( \left(9x-310\right)° \). The sum of the measures of four of the eight angles is k°. Which of the following could NOT be equivalent to k, for all values of x?
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直线・角与多边形进阶
In triangle \( ABC \), the measure of angle \( A \) is 53°, the measure of angle \( B \) is 90°, and the measure of angle \( C \) is \( \left(\frac{k}{2}\right)° \). What is the value of k?
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直线・角与多边形进阶
In the figure, two lines intersect at a point. If \( r=61 \) , what is the value of s?
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直线・角与多边形挑战
A polygon has exactly 87 sides. If the measure of each of the 87 interior angles of this polygon is (180p)°, what is the value of p?
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直线・角与多边形进阶
In the figure shown, lines l and k are parallel and line t intersects both lines. If \( x>154 \) , which of the following must be true?
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直线・角与多边形挑战
For triangle \(ABC\), the length of \(AB\) is 11 less than the length of \(AC\). Point \(D\) (not shown) lies on \(AC\) such that \(BD\) (not shown) is perpendicular to \(AC\). What is the value of \(\frac{BC}{BD}\)?
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直线・角与多边形进阶
In the figure, line q is parallel to line r, and both lines are intersected by line s. If \( y=2x+7 \), what is the value of x?
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直线・角与多边形进阶
In the figure, two lines intersect at a point. If w = 128, what is the value of z?
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直线・角与多边形挑战
Two lines intersect at exactly one point, forming two acute angles and two obtuse angles. The measure of one of these angles is (9x - 110)°. Which of the following could NOT be the sum of the measures of any two of these angles?
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直线・角与多边形挑战
In triangle ABC, the measure of angle A is 31°, the measure of angle B is 90°, and the measure of angle C is (\( \frac{k}{2} \))° . What is the value of k?
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直线・角与多边形挑战
A polygon has exactly 95 sides. If the measure of each of the 95 interior angles of this polygon is (180p)°, what is the value of p?
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