Lines and angles
Types of exercises: angles in a parallelogram, angles and parallel lines, a triangle and a parallel line, how lines lie.
Exercises are drawn at random from a large bank - every click gives a different set.
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Problem
Lines k and l are parallel. Line m crosses line k at point P and line l at point Q. At point P there are two acute angles of 32° each and two obtuse angles. How many degrees is each obtuse angle at point Q?
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All the lines lie in one plane and are different. Line t is perpendicular to line q, and line l is perpendicular to line n. How do lines q and n lie relative to each other?
Problem
In triangle ABC angle ABC measures 69° and angle ACB measures 74°. Point D lies on side AC, point E lies on side BC, and segment DE is parallel to side AB. How many degrees is angle ADE?
Problem
One angle of a parallelogram is 146°. How many degrees is the opposite angle?
Problem
Lines k and l are parallel. Line m crosses line k at point P and line l at point Q. At point P there are two obtuse angles of 132° each and two acute angles. How many degrees is each acute angle at point Q?
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All the lines lie in one plane and are different. Line t is parallel to line l, and line s is parallel to line l. How do lines t and s lie relative to each other?
Problem
In triangle ABC angle ABC measures 63° and angle ACB measures 41°. Point D lies on side AC, point E lies on side BC, and segment DE is parallel to side AB. How many degrees is angle CDE?
Problem
One angle of a parallelogram is 30°. How many degrees is the angle next to it?
Problem
Lines k and l are parallel, and line m crosses both of them. One of the angles that line m makes with line k is 29°. How many degrees is the angle that makes a straight angle together with the corresponding angle at line l?
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All the lines lie in one plane and are different. Line q is parallel to line p, and line p is perpendicular to line l. How do lines q and l lie relative to each other?
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