Q1 Can two adjacent angles br supplementary Q2 Can two adjacent angles be complementary Q3 Can two obtuse - Maths - Lines and Angles

Question

Q1 Can two adjacent angles br supplementary?
Q2 Can two adjacent angles be complementary?
Q3 Can two obtuse angles be adjacent angles?
Q4 Can two acute angle be adjacent to an obtuse angle?
Q5 Can two acute angles form a linear pair?
Q6 Can two obtuse angles form a linear pair?
Q7 Can two right angles form a linear pair?

Vijay Kumar Gupta · Accepted Answer

1) The supplementary angles are those angles whose sum is 180°Yes, the adjacent angles can be supplementary if both are taken as 90° eachThere can be other combinations of adjacnet angles which are supplementary For example, 145° and 35°, 120° and 60°2) The complementary angles are those angles whose sum is 90°Yes, the adjacent angles can be complementary if both are taken as 45° eachThere can be other combinations of adjacnet angles which are complementary For example, 30° and 60°, 50° and 40°3) The adjacent angles are those angles which have one common side Yes, two obtuse angles can be adjacent angles An obtuse angle is one which is more than 90° but less than 180° In other words, it is between a right angle and a straight angle The following figure shows two adjacent angles which are obtuse angles

4) The adjacent angles are those angles which have one common side Yes, two acute angles can be adjacent angles to an obtuse angle The following figure shows two acute angles which are adjacentto an obtuse angle

5) A linear pair is formed when two adjacent angles are such that their sum is 180° No, two acute angles cannot form a linear pair, as acute angles are angles which areless than 90° So the sum of two acute angles will always be less than 180° and they cannot form linear pair 6) A linear pair is formed when two adjacent angles are such that their sum is 180° No, two obtuse angles cannot form a linear pair, as obtuse angles are angles whichlies between 90° and 180° So the sum of two obtuse angles will always be greater than 180° and they cannot form linear pair 7) A linear pair is formed when two adjacent angles are such that their sum is 180° A right angle is angle which has measure 90° So two such angles sums to 180°Yes, two right angles forms a linear pair since their sum is 180°