Properties of plane figures

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.

Solved: 0 of 10

1

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?

Parallel lines k and l crossed by line m; marked: the given angle and the angle to find (question mark)32°?klmPQ
2

Choose the correct answer

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?

3

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?

4

Problem

One angle of a parallelogram is 146°. How many degrees is the opposite angle?

5

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?

Parallel lines k and l crossed by line m; marked: the given angle and the angle to find (question mark)132°?klmPQ
6

Choose the correct answer

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?

7

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?

8

Problem

One angle of a parallelogram is 30°. How many degrees is the angle next to it?

9

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?

Parallel lines k and l crossed by line m; marked: the given angle and the angle to find (question mark)29°?klm
10

Choose the correct answer

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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Lines and angles - exercises with solutions (Properties of plane figures) | PhiBoard