In the following figure, there are two parallel lines cut by a transversal. Therefore, you can substitute ∠7 for ∠3 and know that ∠7 and ∠4 are supplementary. Notice also that ∠3 ≅ ∠7, since they are corresponding angles. When parallel lines are cut by a transversal line, any one acute angle formed and any one obtuse angle formed are supplementary.įrom the figure, you can see that ∠3 and ∠4 are supplementary because they are a linear pair.
The same reasoning applies to the obtuse angles in the figure: ∠2, ∠3, ∠6, and ∠8 are all congruent to each other.Ģ. ∠4 ≅ ∠5 are alternate interior angles, and ∠5 ≅ ∠7 are vertical angles. In the figure above ∠1, ∠4, ∠5, and ∠7 are all acute angles. When a transversal cuts parallel lines, all of the acute angles formed are congruent, and all of the obtuse angles formed are congruent. ∠8 and ∠7 are a linear pair they are supplementary. Because they are congruent, the measure of ∠8 = 53°. They are in the exterior, on opposite sides of the transversal. The angle marked with measure 53° and ∠8 are alternate exterior angles. Use the following diagram of parallel lines cut by a transversal to answer the example problems. Corresponding angles are non-adjacent and congruent. Alternate exterior angles are non-adjacent and congruent.Ĭorresponding angles two angles, one in the interior and one in the exterior, that are on the same side of the transversal. Alternate interior angles are non-adjacent and congruent.Īlternate exterior angles two angles in the exterior of the parallel lines, and on opposite (alternate) sides of the transversal. These pairs are congruent pairs.Īlternate interior angles two angles in the interior of the parallel lines, and on opposite (alternate) sides of the transversal. There are three other special pairs of angles. There are other supplementary pairs described in the shortcut later in this section. All of these supplementary pairs are linear pairs. Recall that supplementary angles are angles whose angle measure adds up to 180°. Recall that all pairs of vertical angles are congruent. There are several special pairs of angles formed from this figure. In the example below, eight angles are formed when parallel lines m and n are cut by a transversal line, t. When two parallel lines are cut by a third line, the third line is called the transversal. When two parallel lines are given in a figure, there are two main areas: the interior and the exterior.
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Hope the information shed above regarding NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download has been useful to an extent. If two parallel lines are intersected by a transversal, then a pair of alternate angles are …………………. If the sum of the measures of two angles is 90°, then each one of them is the …………………. Two adjacent angles have a common …………………. The sum of two angles in a linear pair is …………………. If p and q are parallel lines then ∠1 + ∠2 = ……………. Look at the following figures and fill in the blanks (d) Any angle between 180° and 360° Answer Which pair of the following angles are complementary?įind the value of x in the following figure if l || m If a transversal intersects two parallel lines then the interior angles on the same side of the transversal are (d) Pair of vertically opposite angles Answer Which of the following pairs can form a linear pair? When the sum of the measures of two angles is 90°, the angles are called The measure of the complement of the angle 40° is Lines and Angles Class 7 MCQs Questions with Answers Refer to the Lines and Angles Class 7 MCQs Questions with Answers here along with a detailed explanation. Practice MCQ Questions for Class 7 Maths with Answers on a daily basis and score well in exams. We have compiled the NCERT MCQ Questions for Class 7 Maths Chapter 5 Lines and Angles with Answers Pdf free download covering the entire syllabus.
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