Ex.5.1 Q14 Lines and Angles - NCERT Maths Class 7
Question
In the adjoining figure, name the following pairs of angles:
(i) Obtuse vertically opposite angles.
(ii) Adjacent complementary angles
(iii) Equal supplementary angles.
(iv) Unequal supplementary angles.
(v) Adjacent angles that do not form a linear pair.
Text Solution
Steps:
(i) Obtuse vertically opposite angles mean angles greater than \(90^\circ\) and are equal
\(\angle AOD = \angle BOC\)
(ii) Adjacent complementary angles have common vertex and common arm, non - common arms are on either sides of common arm and their sum is \(90^\circ.\)
\(\angle EOA \,\,{\text {and}} \,\,\angle AOB\) are adjacent complementary angles.
(iii) Equal supplementary angles have sum of angles \(180^\circ\) and supplementary angles are equal.
\(\angle EOB\,\,{\text {and} }\,\,\angle EOD\)
(iv) Unequal supplementary angles have sum of angles \(180^\circ\) and supplementary angles are unequal.
\(\angle EOA\) and \(\angle EOC.\)
(v) Adjacent angles that do not form a linear pair. (Linear pairs are adjacent angles whose sum is equal to \(180^\circ\)).
\(\angle AOB\) and \(\angle AOE;\) \(\angle AOE\) and \(\angle EOD;\) \(\angle EOD\) and \(\angle COD\)