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 triangle \( RST \) , the measure of angle \( R \) is 39°, the measure of angle \( S \) is x°, and the measure of angle \( T \) is \( \left(5x-3\right)° \). Point \( L \) lies on \( RS \), point \( K \) lies on \( ST \) , and \( LK \) is parallel to \( RT \) . What is the measure, in degrees, of angle \( SKL \)? (Disregard the degree symbol when entering your answer.)
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直线・角与多边形进阶
In \( \triangle JKL \) , the measures of both \( ∠J \) and \( ∠K \) are equal and the measure of \( ∠L \) is \( 124° \). What is the measure of \( ∠J \) ?
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直线・角与多边形进阶
In triangle \( RST \) , the measure of angle \( R \) is 50°, the measure of angle \( S \) is x°, and the measure of angle \( T \) is \( \left(4x-5\right)° \). Point \( L \) lies on \( RS \) , point \( K \) lies on \( ST \) and \( LK \) is parallel to \( RT \) . What is the measure, in degrees, of angle \( SKL \) ? (Disregard the degree symbol when entering your answer.)
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直线・角与多边形进阶
In \( \triangle DEF \) , the measure of \( ∠D \) is 114°. Which of the following could be the measure, in degrees, of \( ∠E \) ?
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直线・角与多边形挑战

In the figure, line l is parallel to line m. What is the value of x?
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直线・角与多边形进阶
In triangle ABC, the measure of angle A is 34° and the measure of angle B is 90°. What is the measure, in degrees, of angle C?
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直线・角与多边形挑战

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
Two lines intersect at exactly one point, forming two acute angles and two obtuse angles. The measure of one of these angles is \( \left(7x-260\right)° \). Which of the following could NOT be the sum of the measures of any two of these angles?
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直线・角与多边形进阶
A circle has center \( O \), and points \( R \) and \( S \) lie on the circle. In triangle \( ORS \), the measure of \( ∠ROS \) is 116°. What is the measure of \( ∠RSO \), in degrees? (Disregard the degree symbol when entering your answer.)
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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 \( x>145 \), which of the following must be true?
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直线・角与多边形进阶
In triangle FGH, the measure of angle F is 63°. Which additional piece of information is sufficient to prove that triangle FGH is a right triangle?
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直线・角与多边形进阶
In the figure shown, line r is parallel to line s. What is the value of x?
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